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Finding the Third Proportional to 61,569 and 87,925.50

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Solution

The third proportional to 61,569 and 87,925.50 is: 125,564.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,569 : 87,925.50 = 87,925.50 : x
  2. Step 2: Convert to fraction form
    61,569/87,925.50 = 87,925.50/x
  3. Step 3: Cross multiply
    61,569x = 87,925.50 × 87,925.50
  4. Step 4: Simplify right side
    61,569x = 7,730,893,550.25
  5. Step 5: Solve for x
    x = 7,730,893,550.25/61,569
  6. Step 6: Final answer
    x = 125,564.71

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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.