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Finding the Third Proportional to 59,160 and 89,355

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Solution

The third proportional to 59,160 and 89,355 is: 134,961.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,160 : 89,355 = 89,355 : x
  2. Step 2: Convert to fraction form
    59,160/89,355 = 89,355/x
  3. Step 3: Cross multiply
    59,160x = 89,355 × 89,355
  4. Step 4: Simplify right side
    59,160x = 7,984,316,025
  5. Step 5: Solve for x
    x = 7,984,316,025/59,160
  6. Step 6: Final answer
    x = 134,961.39

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Why These Related Problems?

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