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Finding the Third Proportional to 62,527.50 and 136,913.63

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Solution

The third proportional to 62,527.50 and 136,913.63 is: 299,793.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,527.50 : 136,913.63 = 136,913.63 : x
  2. Step 2: Convert to fraction form
    62,527.50/136,913.63 = 136,913.63/x
  3. Step 3: Cross multiply
    62,527.50x = 136,913.63 × 136,913.63
  4. Step 4: Simplify right side
    62,527.50x = 18,745,340,710.64
  5. Step 5: Solve for x
    x = 18,745,340,710.64/62,527.50
  6. Step 6: Final answer
    x = 299,793.54

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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.