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Finding the Third Proportional to 63,564 and 137,124

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Solution

The third proportional to 63,564 and 137,124 is: 295,811.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,564 : 137,124 = 137,124 : x
  2. Step 2: Convert to fraction form
    63,564/137,124 = 137,124/x
  3. Step 3: Cross multiply
    63,564x = 137,124 × 137,124
  4. Step 4: Simplify right side
    63,564x = 18,802,991,376
  5. Step 5: Solve for x
    x = 18,802,991,376/63,564
  6. Step 6: Final answer
    x = 295,811.96

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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.