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Finding the Third Proportional to 61,627 and 88,066

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Solution

The third proportional to 61,627 and 88,066 is: 125,847.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,627 : 88,066 = 88,066 : x
  2. Step 2: Convert to fraction form
    61,627/88,066 = 88,066/x
  3. Step 3: Cross multiply
    61,627x = 88,066 × 88,066
  4. Step 4: Simplify right side
    61,627x = 7,755,620,356
  5. Step 5: Solve for x
    x = 7,755,620,356/61,627
  6. Step 6: Final answer
    x = 125,847.77

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.