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Finding the Third Proportional to 59,165 and 89,363.50

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Solution

The third proportional to 59,165 and 89,363.50 is: 134,975.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,165 : 89,363.50 = 89,363.50 : x
  2. Step 2: Convert to fraction form
    59,165/89,363.50 = 89,363.50/x
  3. Step 3: Cross multiply
    59,165x = 89,363.50 × 89,363.50
  4. Step 4: Simplify right side
    59,165x = 7,985,835,132.25
  5. Step 5: Solve for x
    x = 7,985,835,132.25/59,165
  6. Step 6: Final answer
    x = 134,975.66

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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.