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Finding the Third Proportional to 71,756.75 and 156,430.75

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Solution

The third proportional to 71,756.75 and 156,430.75 is: 341,021.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,756.75 : 156,430.75 = 156,430.75 : x
  2. Step 2: Convert to fraction form
    71,756.75/156,430.75 = 156,430.75/x
  3. Step 3: Cross multiply
    71,756.75x = 156,430.75 × 156,430.75
  4. Step 4: Simplify right side
    71,756.75x = 24,470,579,545.56
  5. Step 5: Solve for x
    x = 24,470,579,545.56/71,756.75
  6. Step 6: Final answer
    x = 341,021.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.