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Finding the Third Proportional to 83,490 and 125,975

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Solution

The third proportional to 83,490 and 125,975 is: 190,079.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,490 : 125,975 = 125,975 : x
  2. Step 2: Convert to fraction form
    83,490/125,975 = 125,975/x
  3. Step 3: Cross multiply
    83,490x = 125,975 × 125,975
  4. Step 4: Simplify right side
    83,490x = 15,869,700,625
  5. Step 5: Solve for x
    x = 15,869,700,625/83,490
  6. Step 6: Final answer
    x = 190,079.06

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.