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Finding the Third Proportional to 103,720.50 and 159,347.25

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Solution

The third proportional to 103,720.50 and 159,347.25 is: 244,807.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,720.50 : 159,347.25 = 159,347.25 : x
  2. Step 2: Convert to fraction form
    103,720.50/159,347.25 = 159,347.25/x
  3. Step 3: Cross multiply
    103,720.50x = 159,347.25 × 159,347.25
  4. Step 4: Simplify right side
    103,720.50x = 25,391,546,082.56
  5. Step 5: Solve for x
    x = 25,391,546,082.56/103,720.50
  6. Step 6: Final answer
    x = 244,807.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.