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Finding the Third Proportional to 101,733.47 and 161,215.31

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Solution

The third proportional to 101,733.47 and 161,215.31 is: 255,475.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,733.47 : 161,215.31 = 161,215.31 : x
  2. Step 2: Convert to fraction form
    101,733.47/161,215.31 = 161,215.31/x
  3. Step 3: Cross multiply
    101,733.47x = 161,215.31 × 161,215.31
  4. Step 4: Simplify right side
    101,733.47x = 25,990,376,984.47
  5. Step 5: Solve for x
    x = 25,990,376,984.47/101,733.47
  6. Step 6: Final answer
    x = 255,475.19

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.