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Finding the Third Proportional to 59,454 and 89,685

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Solution

The third proportional to 59,454 and 89,685 is: 135,287.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,454 : 89,685 = 89,685 : x
  2. Step 2: Convert to fraction form
    59,454/89,685 = 89,685/x
  3. Step 3: Cross multiply
    59,454x = 89,685 × 89,685
  4. Step 4: Simplify right side
    59,454x = 8,043,399,225
  5. Step 5: Solve for x
    x = 8,043,399,225/59,454
  6. Step 6: Final answer
    x = 135,287.77

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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.