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Finding the Third Proportional to 59,123.25 and 89,299.13

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Solution

The third proportional to 59,123.25 and 89,299.13 is: 134,876.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,123.25 : 89,299.13 = 89,299.13 : x
  2. Step 2: Convert to fraction form
    59,123.25/89,299.13 = 89,299.13/x
  3. Step 3: Cross multiply
    59,123.25x = 89,299.13 × 89,299.13
  4. Step 4: Simplify right side
    59,123.25x = 7,974,333,725.77
  5. Step 5: Solve for x
    x = 7,974,333,725.77/59,123.25
  6. Step 6: Final answer
    x = 134,876.44

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.