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Finding the Third Proportional to 136,871 and 292,657

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Solution

The third proportional to 136,871 and 292,657 is: 625,757.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,871 : 292,657 = 292,657 : x
  2. Step 2: Convert to fraction form
    136,871/292,657 = 292,657/x
  3. Step 3: Cross multiply
    136,871x = 292,657 × 292,657
  4. Step 4: Simplify right side
    136,871x = 85,648,119,649
  5. Step 5: Solve for x
    x = 85,648,119,649/136,871
  6. Step 6: Final answer
    x = 625,757.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.