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Finding the Third Proportional to 103,461.75 and 158,200.88

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Solution

The third proportional to 103,461.75 and 158,200.88 is: 241,901.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,461.75 : 158,200.88 = 158,200.88 : x
  2. Step 2: Convert to fraction form
    103,461.75/158,200.88 = 158,200.88/x
  3. Step 3: Cross multiply
    103,461.75x = 158,200.88 × 158,200.88
  4. Step 4: Simplify right side
    103,461.75x = 25,027,516,850.77
  5. Step 5: Solve for x
    x = 25,027,516,850.77/103,461.75
  6. Step 6: Final answer
    x = 241,901.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.