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Finding the Third Proportional to 103,656.25 and 156,214.88

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Solution

The third proportional to 103,656.25 and 156,214.88 is: 235,423.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,656.25 : 156,214.88 = 156,214.88 : x
  2. Step 2: Convert to fraction form
    103,656.25/156,214.88 = 156,214.88/x
  3. Step 3: Cross multiply
    103,656.25x = 156,214.88 × 156,214.88
  4. Step 4: Simplify right side
    103,656.25x = 24,403,087,171.27
  5. Step 5: Solve for x
    x = 24,403,087,171.27/103,656.25
  6. Step 6: Final answer
    x = 235,423.21

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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.