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Finding the Third Proportional to 45,921 and 67,309

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Solution

The third proportional to 45,921 and 67,309 is: 98,658.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,921 : 67,309 = 67,309 : x
  2. Step 2: Convert to fraction form
    45,921/67,309 = 67,309/x
  3. Step 3: Cross multiply
    45,921x = 67,309 × 67,309
  4. Step 4: Simplify right side
    45,921x = 4,530,501,481
  5. Step 5: Solve for x
    x = 4,530,501,481/45,921
  6. Step 6: Final answer
    x = 98,658.60

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.