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Finding the Third Proportional to 74,468 and 116,566

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Solution

The third proportional to 74,468 and 116,566 is: 182,462.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,468 : 116,566 = 116,566 : x
  2. Step 2: Convert to fraction form
    74,468/116,566 = 116,566/x
  3. Step 3: Cross multiply
    74,468x = 116,566 × 116,566
  4. Step 4: Simplify right side
    74,468x = 13,587,632,356
  5. Step 5: Solve for x
    x = 13,587,632,356/74,468
  6. Step 6: Final answer
    x = 182,462.70

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.