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Finding the Third Proportional to 70,301 and 165,948

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Solution

The third proportional to 70,301 and 165,948 is: 391,726.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,301 : 165,948 = 165,948 : x
  2. Step 2: Convert to fraction form
    70,301/165,948 = 165,948/x
  3. Step 3: Cross multiply
    70,301x = 165,948 × 165,948
  4. Step 4: Simplify right side
    70,301x = 27,538,738,704
  5. Step 5: Solve for x
    x = 27,538,738,704/70,301
  6. Step 6: Final answer
    x = 391,726.13

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.