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Finding the Third Proportional to 63,128 and 138,134

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Solution

The third proportional to 63,128 and 138,134 is: 302,258.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,128 : 138,134 = 138,134 : x
  2. Step 2: Convert to fraction form
    63,128/138,134 = 138,134/x
  3. Step 3: Cross multiply
    63,128x = 138,134 × 138,134
  4. Step 4: Simplify right side
    63,128x = 19,081,001,956
  5. Step 5: Solve for x
    x = 19,081,001,956/63,128
  6. Step 6: Final answer
    x = 302,258.93

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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.