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Finding the Third Proportional to 98,891.50 and 153,031

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Solution

The third proportional to 98,891.50 and 153,031 is: 236,809.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,891.50 : 153,031 = 153,031 : x
  2. Step 2: Convert to fraction form
    98,891.50/153,031 = 153,031/x
  3. Step 3: Cross multiply
    98,891.50x = 153,031 × 153,031
  4. Step 4: Simplify right side
    98,891.50x = 23,418,486,961
  5. Step 5: Solve for x
    x = 23,418,486,961/98,891.50
  6. Step 6: Final answer
    x = 236,809.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.