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Finding the Third Proportional to 99,080 and 150,924

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Solution

The third proportional to 99,080 and 150,924 is: 229,895.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,080 : 150,924 = 150,924 : x
  2. Step 2: Convert to fraction form
    99,080/150,924 = 150,924/x
  3. Step 3: Cross multiply
    99,080x = 150,924 × 150,924
  4. Step 4: Simplify right side
    99,080x = 22,778,053,776
  5. Step 5: Solve for x
    x = 22,778,053,776/99,080
  6. Step 6: Final answer
    x = 229,895.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.