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Finding the Third Proportional to 102,871 and 156,674

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Solution

The third proportional to 102,871 and 156,674 is: 238,616.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,871 : 156,674 = 156,674 : x
  2. Step 2: Convert to fraction form
    102,871/156,674 = 156,674/x
  3. Step 3: Cross multiply
    102,871x = 156,674 × 156,674
  4. Step 4: Simplify right side
    102,871x = 24,546,742,276
  5. Step 5: Solve for x
    x = 24,546,742,276/102,871
  6. Step 6: Final answer
    x = 238,616.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.