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Finding the Third Proportional to 45,730 and 68,716

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Solution

The third proportional to 45,730 and 68,716 is: 103,255.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,730 : 68,716 = 68,716 : x
  2. Step 2: Convert to fraction form
    45,730/68,716 = 68,716/x
  3. Step 3: Cross multiply
    45,730x = 68,716 × 68,716
  4. Step 4: Simplify right side
    45,730x = 4,721,888,656
  5. Step 5: Solve for x
    x = 4,721,888,656/45,730
  6. Step 6: Final answer
    x = 103,255.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.