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Finding the Third Proportional to 104,634 and 156,537

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Solution

The third proportional to 104,634 and 156,537 is: 234,186.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,634 : 156,537 = 156,537 : x
  2. Step 2: Convert to fraction form
    104,634/156,537 = 156,537/x
  3. Step 3: Cross multiply
    104,634x = 156,537 × 156,537
  4. Step 4: Simplify right side
    104,634x = 24,503,832,369
  5. Step 5: Solve for x
    x = 24,503,832,369/104,634
  6. Step 6: Final answer
    x = 234,186.14

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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.