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Finding the Third Proportional to 63,434 and 138,169

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Solution

The third proportional to 63,434 and 138,169 is: 300,953.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,434 : 138,169 = 138,169 : x
  2. Step 2: Convert to fraction form
    63,434/138,169 = 138,169/x
  3. Step 3: Cross multiply
    63,434x = 138,169 × 138,169
  4. Step 4: Simplify right side
    63,434x = 19,090,672,561
  5. Step 5: Solve for x
    x = 19,090,672,561/63,434
  6. Step 6: Final answer
    x = 300,953.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.