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Finding the Third Proportional to 60,375 and 128,545.50

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Solution

The third proportional to 60,375 and 128,545.50 is: 273,688.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,375 : 128,545.50 = 128,545.50 : x
  2. Step 2: Convert to fraction form
    60,375/128,545.50 = 128,545.50/x
  3. Step 3: Cross multiply
    60,375x = 128,545.50 × 128,545.50
  4. Step 4: Simplify right side
    60,375x = 16,523,945,570.25
  5. Step 5: Solve for x
    x = 16,523,945,570.25/60,375
  6. Step 6: Final answer
    x = 273,688.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.