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Finding the Third Proportional to 83,908 and 129,633

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Solution

The third proportional to 83,908 and 129,633 is: 200,275.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,908 : 129,633 = 129,633 : x
  2. Step 2: Convert to fraction form
    83,908/129,633 = 129,633/x
  3. Step 3: Cross multiply
    83,908x = 129,633 × 129,633
  4. Step 4: Simplify right side
    83,908x = 16,804,714,689
  5. Step 5: Solve for x
    x = 16,804,714,689/83,908
  6. Step 6: Final answer
    x = 200,275.48

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.