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Finding the Third Proportional to 126,158.50 and 275,537

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Solution

The third proportional to 126,158.50 and 275,537 is: 601,787.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,158.50 : 275,537 = 275,537 : x
  2. Step 2: Convert to fraction form
    126,158.50/275,537 = 275,537/x
  3. Step 3: Cross multiply
    126,158.50x = 275,537 × 275,537
  4. Step 4: Simplify right side
    126,158.50x = 75,920,638,369
  5. Step 5: Solve for x
    x = 75,920,638,369/126,158.50
  6. Step 6: Final answer
    x = 601,787.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.