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Finding the Third Proportional to 64,941.75 and 140,950.13

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Solution

The third proportional to 64,941.75 and 140,950.13 is: 305,919.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,941.75 : 140,950.13 = 140,950.13 : x
  2. Step 2: Convert to fraction form
    64,941.75/140,950.13 = 140,950.13/x
  3. Step 3: Cross multiply
    64,941.75x = 140,950.13 × 140,950.13
  4. Step 4: Simplify right side
    64,941.75x = 19,866,937,737.52
  5. Step 5: Solve for x
    x = 19,866,937,737.52/64,941.75
  6. Step 6: Final answer
    x = 305,919.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.