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Finding the Third Proportional to 113,656.50 and 175,871.25

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Solution

The third proportional to 113,656.50 and 175,871.25 is: 272,141.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,656.50 : 175,871.25 = 175,871.25 : x
  2. Step 2: Convert to fraction form
    113,656.50/175,871.25 = 175,871.25/x
  3. Step 3: Cross multiply
    113,656.50x = 175,871.25 × 175,871.25
  4. Step 4: Simplify right side
    113,656.50x = 30,930,696,576.56
  5. Step 5: Solve for x
    x = 30,930,696,576.56/113,656.50
  6. Step 6: Final answer
    x = 272,141.91

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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.