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Finding the Third Proportional to 105,082.31 and 157,750.88

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Solution

The third proportional to 105,082.31 and 157,750.88 is: 236,817.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,082.31 : 157,750.88 = 157,750.88 : x
  2. Step 2: Convert to fraction form
    105,082.31/157,750.88 = 157,750.88/x
  3. Step 3: Cross multiply
    105,082.31x = 157,750.88 × 157,750.88
  4. Step 4: Simplify right side
    105,082.31x = 24,885,338,563.27
  5. Step 5: Solve for x
    x = 24,885,338,563.27/105,082.31
  6. Step 6: Final answer
    x = 236,817.58

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Why These Related Problems?

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