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Finding the Third Proportional to 116,032.50 and 156,552.75

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Solution

The third proportional to 116,032.50 and 156,552.75 is: 211,223.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,032.50 : 156,552.75 = 156,552.75 : x
  2. Step 2: Convert to fraction form
    116,032.50/156,552.75 = 156,552.75/x
  3. Step 3: Cross multiply
    116,032.50x = 156,552.75 × 156,552.75
  4. Step 4: Simplify right side
    116,032.50x = 24,508,763,532.56
  5. Step 5: Solve for x
    x = 24,508,763,532.56/116,032.50
  6. Step 6: Final answer
    x = 211,223.27

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.