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Finding the Third Proportional to 62,496 and 137,497.50

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Solution

The third proportional to 62,496 and 137,497.50 is: 302,508.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,496 : 137,497.50 = 137,497.50 : x
  2. Step 2: Convert to fraction form
    62,496/137,497.50 = 137,497.50/x
  3. Step 3: Cross multiply
    62,496x = 137,497.50 × 137,497.50
  4. Step 4: Simplify right side
    62,496x = 18,905,562,506.25
  5. Step 5: Solve for x
    x = 18,905,562,506.25/62,496
  6. Step 6: Final answer
    x = 302,508.36

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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.