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Finding the Third Proportional to 57,829.50 and 89,370

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Solution

The third proportional to 57,829.50 and 89,370 is: 138,112.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,829.50 : 89,370 = 89,370 : x
  2. Step 2: Convert to fraction form
    57,829.50/89,370 = 89,370/x
  3. Step 3: Cross multiply
    57,829.50x = 89,370 × 89,370
  4. Step 4: Simplify right side
    57,829.50x = 7,986,996,900
  5. Step 5: Solve for x
    x = 7,986,996,900/57,829.50
  6. Step 6: Final answer
    x = 138,112.85

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.