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Finding the Third Proportional to 63,562 and 137,034

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Solution

The third proportional to 63,562 and 137,034 is: 295,433.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,562 : 137,034 = 137,034 : x
  2. Step 2: Convert to fraction form
    63,562/137,034 = 137,034/x
  3. Step 3: Cross multiply
    63,562x = 137,034 × 137,034
  4. Step 4: Simplify right side
    63,562x = 18,778,317,156
  5. Step 5: Solve for x
    x = 18,778,317,156/63,562
  6. Step 6: Final answer
    x = 295,433.08

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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.