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Finding the Third Proportional to 67,068 and 71,887.50

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Solution

The third proportional to 67,068 and 71,887.50 is: 77,053.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,068 : 71,887.50 = 71,887.50 : x
  2. Step 2: Convert to fraction form
    67,068/71,887.50 = 71,887.50/x
  3. Step 3: Cross multiply
    67,068x = 71,887.50 × 71,887.50
  4. Step 4: Simplify right side
    67,068x = 5,167,812,656.25
  5. Step 5: Solve for x
    x = 5,167,812,656.25/67,068
  6. Step 6: Final answer
    x = 77,053.33

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.