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Finding the Third Proportional to 52,647.19 and 85,957.88

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Solution

The third proportional to 52,647.19 and 85,957.88 is: 140,344.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,647.19 : 85,957.88 = 85,957.88 : x
  2. Step 2: Convert to fraction form
    52,647.19/85,957.88 = 85,957.88/x
  3. Step 3: Cross multiply
    52,647.19x = 85,957.88 × 85,957.88
  4. Step 4: Simplify right side
    52,647.19x = 7,388,756,274.52
  5. Step 5: Solve for x
    x = 7,388,756,274.52/52,647.19
  6. Step 6: Final answer
    x = 140,344.75

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.