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Finding the Third Proportional to 63,045 and 135,657

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Solution

The third proportional to 63,045 and 135,657 is: 291,899.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,045 : 135,657 = 135,657 : x
  2. Step 2: Convert to fraction form
    63,045/135,657 = 135,657/x
  3. Step 3: Cross multiply
    63,045x = 135,657 × 135,657
  4. Step 4: Simplify right side
    63,045x = 18,402,821,649
  5. Step 5: Solve for x
    x = 18,402,821,649/63,045
  6. Step 6: Final answer
    x = 291,899.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.