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Finding the Third Proportional to 137,529 and 185,557.50

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Solution

The third proportional to 137,529 and 185,557.50 is: 250,358.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,529 : 185,557.50 = 185,557.50 : x
  2. Step 2: Convert to fraction form
    137,529/185,557.50 = 185,557.50/x
  3. Step 3: Cross multiply
    137,529x = 185,557.50 × 185,557.50
  4. Step 4: Simplify right side
    137,529x = 34,431,585,806.25
  5. Step 5: Solve for x
    x = 34,431,585,806.25/137,529
  6. Step 6: Final answer
    x = 250,358.73

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.