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Finding the Third Proportional to 116,695.50 and 171,330.75

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Solution

The third proportional to 116,695.50 and 171,330.75 is: 251,545.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,695.50 : 171,330.75 = 171,330.75 : x
  2. Step 2: Convert to fraction form
    116,695.50/171,330.75 = 171,330.75/x
  3. Step 3: Cross multiply
    116,695.50x = 171,330.75 × 171,330.75
  4. Step 4: Simplify right side
    116,695.50x = 29,354,225,895.56
  5. Step 5: Solve for x
    x = 29,354,225,895.56/116,695.50
  6. Step 6: Final answer
    x = 251,545.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.