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Finding the Third Proportional to 62,527.50 and 136,791

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Solution

The third proportional to 62,527.50 and 136,791 is: 299,256.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,527.50 : 136,791 = 136,791 : x
  2. Step 2: Convert to fraction form
    62,527.50/136,791 = 136,791/x
  3. Step 3: Cross multiply
    62,527.50x = 136,791 × 136,791
  4. Step 4: Simplify right side
    62,527.50x = 18,711,777,681
  5. Step 5: Solve for x
    x = 18,711,777,681/62,527.50
  6. Step 6: Final answer
    x = 299,256.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.