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Finding the Third Proportional to 57,312.88 and 125,697.45

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Solution

The third proportional to 57,312.88 and 125,697.45 is: 275,677.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,312.88 : 125,697.45 = 125,697.45 : x
  2. Step 2: Convert to fraction form
    57,312.88/125,697.45 = 125,697.45/x
  3. Step 3: Cross multiply
    57,312.88x = 125,697.45 × 125,697.45
  4. Step 4: Simplify right side
    57,312.88x = 15,799,847,758.09
  5. Step 5: Solve for x
    x = 15,799,847,758.09/57,312.88
  6. Step 6: Final answer
    x = 275,677.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.