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Finding the Third Proportional to 70,352 and 149,931

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Solution

The third proportional to 70,352 and 149,931 is: 319,526.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,352 : 149,931 = 149,931 : x
  2. Step 2: Convert to fraction form
    70,352/149,931 = 149,931/x
  3. Step 3: Cross multiply
    70,352x = 149,931 × 149,931
  4. Step 4: Simplify right side
    70,352x = 22,479,304,761
  5. Step 5: Solve for x
    x = 22,479,304,761/70,352
  6. Step 6: Final answer
    x = 319,526.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.