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Finding the Third Proportional to 56,424.25 and 85,744.50

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Solution

The third proportional to 56,424.25 and 85,744.50 is: 130,300.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,424.25 : 85,744.50 = 85,744.50 : x
  2. Step 2: Convert to fraction form
    56,424.25/85,744.50 = 85,744.50/x
  3. Step 3: Cross multiply
    56,424.25x = 85,744.50 × 85,744.50
  4. Step 4: Simplify right side
    56,424.25x = 7,352,119,280.25
  5. Step 5: Solve for x
    x = 7,352,119,280.25/56,424.25
  6. Step 6: Final answer
    x = 130,300.70

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.