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Finding the Third Proportional to 83,373 and 124,830

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Solution

The third proportional to 83,373 and 124,830 is: 186,901.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,373 : 124,830 = 124,830 : x
  2. Step 2: Convert to fraction form
    83,373/124,830 = 124,830/x
  3. Step 3: Cross multiply
    83,373x = 124,830 × 124,830
  4. Step 4: Simplify right side
    83,373x = 15,582,528,900
  5. Step 5: Solve for x
    x = 15,582,528,900/83,373
  6. Step 6: Final answer
    x = 186,901.38

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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.