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Finding the Third Proportional to 79,548 and 107,657

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Solution

The third proportional to 79,548 and 107,657 is: 145,698.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,548 : 107,657 = 107,657 : x
  2. Step 2: Convert to fraction form
    79,548/107,657 = 107,657/x
  3. Step 3: Cross multiply
    79,548x = 107,657 × 107,657
  4. Step 4: Simplify right side
    79,548x = 11,590,029,649
  5. Step 5: Solve for x
    x = 11,590,029,649/79,548
  6. Step 6: Final answer
    x = 145,698.57

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.