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Finding the Third Proportional to 52,432.50 and 83,398.50

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Solution

The third proportional to 52,432.50 and 83,398.50 is: 132,652.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,432.50 : 83,398.50 = 83,398.50 : x
  2. Step 2: Convert to fraction form
    52,432.50/83,398.50 = 83,398.50/x
  3. Step 3: Cross multiply
    52,432.50x = 83,398.50 × 83,398.50
  4. Step 4: Simplify right side
    52,432.50x = 6,955,309,802.25
  5. Step 5: Solve for x
    x = 6,955,309,802.25/52,432.50
  6. Step 6: Final answer
    x = 132,652.64

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.