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Finding the Third Proportional to 83,113.59 and 176,607.84

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Solution

The third proportional to 83,113.59 and 176,607.84 is: 375,273.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,113.59 : 176,607.84 = 176,607.84 : x
  2. Step 2: Convert to fraction form
    83,113.59/176,607.84 = 176,607.84/x
  3. Step 3: Cross multiply
    83,113.59x = 176,607.84 × 176,607.84
  4. Step 4: Simplify right side
    83,113.59x = 31,190,330,474.02
  5. Step 5: Solve for x
    x = 31,190,330,474.02/83,113.59
  6. Step 6: Final answer
    x = 375,273.52

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.