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Finding the Third Proportional to 60,432.75 and 110,875.50

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Solution

The third proportional to 60,432.75 and 110,875.50 is: 203,422.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,432.75 : 110,875.50 = 110,875.50 : x
  2. Step 2: Convert to fraction form
    60,432.75/110,875.50 = 110,875.50/x
  3. Step 3: Cross multiply
    60,432.75x = 110,875.50 × 110,875.50
  4. Step 4: Simplify right side
    60,432.75x = 12,293,376,500.25
  5. Step 5: Solve for x
    x = 12,293,376,500.25/60,432.75
  6. Step 6: Final answer
    x = 203,422.42

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.