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Finding the Third Proportional to 64,493 and 99,657

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Solution

The third proportional to 64,493 and 99,657 is: 153,993.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,493 : 99,657 = 99,657 : x
  2. Step 2: Convert to fraction form
    64,493/99,657 = 99,657/x
  3. Step 3: Cross multiply
    64,493x = 99,657 × 99,657
  4. Step 4: Simplify right side
    64,493x = 9,931,517,649
  5. Step 5: Solve for x
    x = 9,931,517,649/64,493
  6. Step 6: Final answer
    x = 153,993.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.