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Finding the Third Proportional to 42,445.50 and 93,315

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Solution

The third proportional to 42,445.50 and 93,315 is: 205,149.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,445.50 : 93,315 = 93,315 : x
  2. Step 2: Convert to fraction form
    42,445.50/93,315 = 93,315/x
  3. Step 3: Cross multiply
    42,445.50x = 93,315 × 93,315
  4. Step 4: Simplify right side
    42,445.50x = 8,707,689,225
  5. Step 5: Solve for x
    x = 8,707,689,225/42,445.50
  6. Step 6: Final answer
    x = 205,149.88

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.