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Finding the Third Proportional to 98,982 and 141,031.13

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Solution

The third proportional to 98,982 and 141,031.13 is: 200,943.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,982 : 141,031.13 = 141,031.13 : x
  2. Step 2: Convert to fraction form
    98,982/141,031.13 = 141,031.13/x
  3. Step 3: Cross multiply
    98,982x = 141,031.13 × 141,031.13
  4. Step 4: Simplify right side
    98,982x = 19,889,778,218.77
  5. Step 5: Solve for x
    x = 19,889,778,218.77/98,982
  6. Step 6: Final answer
    x = 200,943.39

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.