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Finding the Third Proportional to 25,147 and 55,316

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Solution

The third proportional to 25,147 and 55,316 is: 121,678.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,147 : 55,316 = 55,316 : x
  2. Step 2: Convert to fraction form
    25,147/55,316 = 55,316/x
  3. Step 3: Cross multiply
    25,147x = 55,316 × 55,316
  4. Step 4: Simplify right side
    25,147x = 3,059,859,856
  5. Step 5: Solve for x
    x = 3,059,859,856/25,147
  6. Step 6: Final answer
    x = 121,678.92

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.