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Finding the Third Proportional to 71,124.50 and 106,875.50

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Solution

The third proportional to 71,124.50 and 106,875.50 is: 160,596.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,124.50 : 106,875.50 = 106,875.50 : x
  2. Step 2: Convert to fraction form
    71,124.50/106,875.50 = 106,875.50/x
  3. Step 3: Cross multiply
    71,124.50x = 106,875.50 × 106,875.50
  4. Step 4: Simplify right side
    71,124.50x = 11,422,372,500.25
  5. Step 5: Solve for x
    x = 11,422,372,500.25/71,124.50
  6. Step 6: Final answer
    x = 160,596.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.