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Finding the Third Proportional to 59,418 and 89,138.50

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Solution

The third proportional to 59,418 and 89,138.50 is: 133,725.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,418 : 89,138.50 = 89,138.50 : x
  2. Step 2: Convert to fraction form
    59,418/89,138.50 = 89,138.50/x
  3. Step 3: Cross multiply
    59,418x = 89,138.50 × 89,138.50
  4. Step 4: Simplify right side
    59,418x = 7,945,672,182.25
  5. Step 5: Solve for x
    x = 7,945,672,182.25/59,418
  6. Step 6: Final answer
    x = 133,725.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.