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Finding the Third Proportional to 63,134 and 138,146

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Solution

The third proportional to 63,134 and 138,146 is: 302,282.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,134 : 138,146 = 138,146 : x
  2. Step 2: Convert to fraction form
    63,134/138,146 = 138,146/x
  3. Step 3: Cross multiply
    63,134x = 138,146 × 138,146
  4. Step 4: Simplify right side
    63,134x = 19,084,317,316
  5. Step 5: Solve for x
    x = 19,084,317,316/63,134
  6. Step 6: Final answer
    x = 302,282.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.