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Finding the Third Proportional to 105,117 and 161,577

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Solution

The third proportional to 105,117 and 161,577 is: 248,362.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,117 : 161,577 = 161,577 : x
  2. Step 2: Convert to fraction form
    105,117/161,577 = 161,577/x
  3. Step 3: Cross multiply
    105,117x = 161,577 × 161,577
  4. Step 4: Simplify right side
    105,117x = 26,107,126,929
  5. Step 5: Solve for x
    x = 26,107,126,929/105,117
  6. Step 6: Final answer
    x = 248,362.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.