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Finding the Third Proportional to 103,963.50 and 156,684.38

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Solution

The third proportional to 103,963.50 and 156,684.38 is: 236,140.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,963.50 : 156,684.38 = 156,684.38 : x
  2. Step 2: Convert to fraction form
    103,963.50/156,684.38 = 156,684.38/x
  3. Step 3: Cross multiply
    103,963.50x = 156,684.38 × 156,684.38
  4. Step 4: Simplify right side
    103,963.50x = 24,549,993,369.14
  5. Step 5: Solve for x
    x = 24,549,993,369.14/103,963.50
  6. Step 6: Final answer
    x = 236,140.50

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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.