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Finding the Third Proportional to 66,114 and 96,402

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Solution

The third proportional to 66,114 and 96,402 is: 140,565.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,114 : 96,402 = 96,402 : x
  2. Step 2: Convert to fraction form
    66,114/96,402 = 96,402/x
  3. Step 3: Cross multiply
    66,114x = 96,402 × 96,402
  4. Step 4: Simplify right side
    66,114x = 9,293,345,604
  5. Step 5: Solve for x
    x = 9,293,345,604/66,114
  6. Step 6: Final answer
    x = 140,565.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.