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Finding the Third Proportional to 103,579.50 and 156,769.50

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Solution

The third proportional to 103,579.50 and 156,769.50 is: 237,273.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,579.50 : 156,769.50 = 156,769.50 : x
  2. Step 2: Convert to fraction form
    103,579.50/156,769.50 = 156,769.50/x
  3. Step 3: Cross multiply
    103,579.50x = 156,769.50 × 156,769.50
  4. Step 4: Simplify right side
    103,579.50x = 24,576,676,130.25
  5. Step 5: Solve for x
    x = 24,576,676,130.25/103,579.50
  6. Step 6: Final answer
    x = 237,273.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.