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Finding the Third Proportional to 107,133 and 169,499

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Solution

The third proportional to 107,133 and 169,499 is: 268,170.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,133 : 169,499 = 169,499 : x
  2. Step 2: Convert to fraction form
    107,133/169,499 = 169,499/x
  3. Step 3: Cross multiply
    107,133x = 169,499 × 169,499
  4. Step 4: Simplify right side
    107,133x = 28,729,911,001
  5. Step 5: Solve for x
    x = 28,729,911,001/107,133
  6. Step 6: Final answer
    x = 268,170.51

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.