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Finding the Third Proportional to 108,877 and 163,316

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Solution

The third proportional to 108,877 and 163,316 is: 244,974.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,877 : 163,316 = 163,316 : x
  2. Step 2: Convert to fraction form
    108,877/163,316 = 163,316/x
  3. Step 3: Cross multiply
    108,877x = 163,316 × 163,316
  4. Step 4: Simplify right side
    108,877x = 26,672,115,856
  5. Step 5: Solve for x
    x = 26,672,115,856/108,877
  6. Step 6: Final answer
    x = 244,974.75

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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.