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Finding the Third Proportional to 60,129 and 89,677.50

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Solution

The third proportional to 60,129 and 89,677.50 is: 133,746.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,129 : 89,677.50 = 89,677.50 : x
  2. Step 2: Convert to fraction form
    60,129/89,677.50 = 89,677.50/x
  3. Step 3: Cross multiply
    60,129x = 89,677.50 × 89,677.50
  4. Step 4: Simplify right side
    60,129x = 8,042,054,006.25
  5. Step 5: Solve for x
    x = 8,042,054,006.25/60,129
  6. Step 6: Final answer
    x = 133,746.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.