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Finding the Third Proportional to 65,884.50 and 143,695.13

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Solution

The third proportional to 65,884.50 and 143,695.13 is: 313,401.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,884.50 : 143,695.13 = 143,695.13 : x
  2. Step 2: Convert to fraction form
    65,884.50/143,695.13 = 143,695.13/x
  3. Step 3: Cross multiply
    65,884.50x = 143,695.13 × 143,695.13
  4. Step 4: Simplify right side
    65,884.50x = 20,648,288,948.77
  5. Step 5: Solve for x
    x = 20,648,288,948.77/65,884.50
  6. Step 6: Final answer
    x = 313,401.32

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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.