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Finding the Third Proportional to 107,914 and 169,287

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Solution

The third proportional to 107,914 and 169,287 is: 265,564.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,914 : 169,287 = 169,287 : x
  2. Step 2: Convert to fraction form
    107,914/169,287 = 169,287/x
  3. Step 3: Cross multiply
    107,914x = 169,287 × 169,287
  4. Step 4: Simplify right side
    107,914x = 28,658,088,369
  5. Step 5: Solve for x
    x = 28,658,088,369/107,914
  6. Step 6: Final answer
    x = 265,564.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.