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Finding the Third Proportional to 63,699 and 137,778

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Solution

The third proportional to 63,699 and 137,778 is: 298,007.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,699 : 137,778 = 137,778 : x
  2. Step 2: Convert to fraction form
    63,699/137,778 = 137,778/x
  3. Step 3: Cross multiply
    63,699x = 137,778 × 137,778
  4. Step 4: Simplify right side
    63,699x = 18,982,777,284
  5. Step 5: Solve for x
    x = 18,982,777,284/63,699
  6. Step 6: Final answer
    x = 298,007.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.