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Finding the Third Proportional to 83,178 and 124,659

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Solution

The third proportional to 83,178 and 124,659 is: 186,826.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,178 : 124,659 = 124,659 : x
  2. Step 2: Convert to fraction form
    83,178/124,659 = 124,659/x
  3. Step 3: Cross multiply
    83,178x = 124,659 × 124,659
  4. Step 4: Simplify right side
    83,178x = 15,539,866,281
  5. Step 5: Solve for x
    x = 15,539,866,281/83,178
  6. Step 6: Final answer
    x = 186,826.64

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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.