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Finding the Third Proportional to 59,274 and 89,545.50

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Solution

The third proportional to 59,274 and 89,545.50 is: 135,276.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,274 : 89,545.50 = 89,545.50 : x
  2. Step 2: Convert to fraction form
    59,274/89,545.50 = 89,545.50/x
  3. Step 3: Cross multiply
    59,274x = 89,545.50 × 89,545.50
  4. Step 4: Simplify right side
    59,274x = 8,018,396,570.25
  5. Step 5: Solve for x
    x = 8,018,396,570.25/59,274
  6. Step 6: Final answer
    x = 135,276.79

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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.