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Finding the Third Proportional to 103,656.50 and 156,215.25

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Solution

The third proportional to 103,656.50 and 156,215.25 is: 235,423.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,656.50 : 156,215.25 = 156,215.25 : x
  2. Step 2: Convert to fraction form
    103,656.50/156,215.25 = 156,215.25/x
  3. Step 3: Cross multiply
    103,656.50x = 156,215.25 × 156,215.25
  4. Step 4: Simplify right side
    103,656.50x = 24,403,204,332.56
  5. Step 5: Solve for x
    x = 24,403,204,332.56/103,656.50
  6. Step 6: Final answer
    x = 235,423.77

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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.