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Finding the Third Proportional to 124,666.59 and 186,950.53

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Solution

The third proportional to 124,666.59 and 186,950.53 is: 280,351.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,666.59 : 186,950.53 = 186,950.53 : x
  2. Step 2: Convert to fraction form
    124,666.59/186,950.53 = 186,950.53/x
  3. Step 3: Cross multiply
    124,666.59x = 186,950.53 × 186,950.53
  4. Step 4: Simplify right side
    124,666.59x = 34,950,501,134.66
  5. Step 5: Solve for x
    x = 34,950,501,134.66/124,666.59
  6. Step 6: Final answer
    x = 280,351.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.