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Finding the Third Proportional to 52,042.50 and 82,327.50

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Solution

The third proportional to 52,042.50 and 82,327.50 is: 130,236.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,042.50 : 82,327.50 = 82,327.50 : x
  2. Step 2: Convert to fraction form
    52,042.50/82,327.50 = 82,327.50/x
  3. Step 3: Cross multiply
    52,042.50x = 82,327.50 × 82,327.50
  4. Step 4: Simplify right side
    52,042.50x = 6,777,817,256.25
  5. Step 5: Solve for x
    x = 6,777,817,256.25/52,042.50
  6. Step 6: Final answer
    x = 130,236.20

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.