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Finding the Third Proportional to 103,675.57 and 156,465.42

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Solution

The third proportional to 103,675.57 and 156,465.42 is: 236,134.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,675.57 : 156,465.42 = 156,465.42 : x
  2. Step 2: Convert to fraction form
    103,675.57/156,465.42 = 156,465.42/x
  3. Step 3: Cross multiply
    103,675.57x = 156,465.42 × 156,465.42
  4. Step 4: Simplify right side
    103,675.57x = 24,481,428,242.52
  5. Step 5: Solve for x
    x = 24,481,428,242.52/103,675.57
  6. Step 6: Final answer
    x = 236,134.98

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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.