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Finding the Third Proportional to 63,114 and 136,068

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Solution

The third proportional to 63,114 and 136,068 is: 293,350.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,114 : 136,068 = 136,068 : x
  2. Step 2: Convert to fraction form
    63,114/136,068 = 136,068/x
  3. Step 3: Cross multiply
    63,114x = 136,068 × 136,068
  4. Step 4: Simplify right side
    63,114x = 18,514,500,624
  5. Step 5: Solve for x
    x = 18,514,500,624/63,114
  6. Step 6: Final answer
    x = 293,350.14

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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.