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Finding the Third Proportional to 62,199 and 93,747

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Solution

The third proportional to 62,199 and 93,747 is: 141,296.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,199 : 93,747 = 93,747 : x
  2. Step 2: Convert to fraction form
    62,199/93,747 = 93,747/x
  3. Step 3: Cross multiply
    62,199x = 93,747 × 93,747
  4. Step 4: Simplify right side
    62,199x = 8,788,500,009
  5. Step 5: Solve for x
    x = 8,788,500,009/62,199
  6. Step 6: Final answer
    x = 141,296.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.