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Finding the Third Proportional to 83,099 and 124,614

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Solution

The third proportional to 83,099 and 124,614 is: 186,869.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,099 : 124,614 = 124,614 : x
  2. Step 2: Convert to fraction form
    83,099/124,614 = 124,614/x
  3. Step 3: Cross multiply
    83,099x = 124,614 × 124,614
  4. Step 4: Simplify right side
    83,099x = 15,528,648,996
  5. Step 5: Solve for x
    x = 15,528,648,996/83,099
  6. Step 6: Final answer
    x = 186,869.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.