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Finding the Third Proportional to 83,112 and 113,550

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Solution

The third proportional to 83,112 and 113,550 is: 155,135.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,112 : 113,550 = 113,550 : x
  2. Step 2: Convert to fraction form
    83,112/113,550 = 113,550/x
  3. Step 3: Cross multiply
    83,112x = 113,550 × 113,550
  4. Step 4: Simplify right side
    83,112x = 12,893,602,500
  5. Step 5: Solve for x
    x = 12,893,602,500/83,112
  6. Step 6: Final answer
    x = 155,135.27

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.