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Finding the Third Proportional to 67,887 and 147,073.50

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Solution

The third proportional to 67,887 and 147,073.50 is: 318,626.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,887 : 147,073.50 = 147,073.50 : x
  2. Step 2: Convert to fraction form
    67,887/147,073.50 = 147,073.50/x
  3. Step 3: Cross multiply
    67,887x = 147,073.50 × 147,073.50
  4. Step 4: Simplify right side
    67,887x = 21,630,614,402.25
  5. Step 5: Solve for x
    x = 21,630,614,402.25/67,887
  6. Step 6: Final answer
    x = 318,626.75

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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.