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Finding the Third Proportional to 101,454 and 161,577

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Solution

The third proportional to 101,454 and 161,577 is: 257,329.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,454 : 161,577 = 161,577 : x
  2. Step 2: Convert to fraction form
    101,454/161,577 = 161,577/x
  3. Step 3: Cross multiply
    101,454x = 161,577 × 161,577
  4. Step 4: Simplify right side
    101,454x = 26,107,126,929
  5. Step 5: Solve for x
    x = 26,107,126,929/101,454
  6. Step 6: Final answer
    x = 257,329.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.