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Finding the Third Proportional to 62,376 and 137,206.50

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Solution

The third proportional to 62,376 and 137,206.50 is: 301,808.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,376 : 137,206.50 = 137,206.50 : x
  2. Step 2: Convert to fraction form
    62,376/137,206.50 = 137,206.50/x
  3. Step 3: Cross multiply
    62,376x = 137,206.50 × 137,206.50
  4. Step 4: Simplify right side
    62,376x = 18,825,623,642.25
  5. Step 5: Solve for x
    x = 18,825,623,642.25/62,376
  6. Step 6: Final answer
    x = 301,808.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.