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Finding the Third Proportional to 103,156 and 156,841

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Solution

The third proportional to 103,156 and 156,841 is: 238,465.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,156 : 156,841 = 156,841 : x
  2. Step 2: Convert to fraction form
    103,156/156,841 = 156,841/x
  3. Step 3: Cross multiply
    103,156x = 156,841 × 156,841
  4. Step 4: Simplify right side
    103,156x = 24,599,099,281
  5. Step 5: Solve for x
    x = 24,599,099,281/103,156
  6. Step 6: Final answer
    x = 238,465.04

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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.