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Finding the Third Proportional to 45,971 and 69,229

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Solution

The third proportional to 45,971 and 69,229 is: 104,253.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,971 : 69,229 = 69,229 : x
  2. Step 2: Convert to fraction form
    45,971/69,229 = 69,229/x
  3. Step 3: Cross multiply
    45,971x = 69,229 × 69,229
  4. Step 4: Simplify right side
    45,971x = 4,792,654,441
  5. Step 5: Solve for x
    x = 4,792,654,441/45,971
  6. Step 6: Final answer
    x = 104,253.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.