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Finding the Third Proportional to 50,713.88 and 78,834.38

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Solution

The third proportional to 50,713.88 and 78,834.38 is: 122,547.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,713.88 : 78,834.38 = 78,834.38 : x
  2. Step 2: Convert to fraction form
    50,713.88/78,834.38 = 78,834.38/x
  3. Step 3: Cross multiply
    50,713.88x = 78,834.38 × 78,834.38
  4. Step 4: Simplify right side
    50,713.88x = 6,214,858,681.64
  5. Step 5: Solve for x
    x = 6,214,858,681.64/50,713.88
  6. Step 6: Final answer
    x = 122,547.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.