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Finding the Third Proportional to 71,545.50 and 113,260.50

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Solution

The third proportional to 71,545.50 and 113,260.50 is: 179,297.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,545.50 : 113,260.50 = 113,260.50 : x
  2. Step 2: Convert to fraction form
    71,545.50/113,260.50 = 113,260.50/x
  3. Step 3: Cross multiply
    71,545.50x = 113,260.50 × 113,260.50
  4. Step 4: Simplify right side
    71,545.50x = 12,827,940,860.25
  5. Step 5: Solve for x
    x = 12,827,940,860.25/71,545.50
  6. Step 6: Final answer
    x = 179,297.66

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.