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Finding the Third Proportional to 63,594 and 138,123

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Solution

The third proportional to 63,594 and 138,123 is: 299,996.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,594 : 138,123 = 138,123 : x
  2. Step 2: Convert to fraction form
    63,594/138,123 = 138,123/x
  3. Step 3: Cross multiply
    63,594x = 138,123 × 138,123
  4. Step 4: Simplify right side
    63,594x = 19,077,963,129
  5. Step 5: Solve for x
    x = 19,077,963,129/63,594
  6. Step 6: Final answer
    x = 299,996.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.