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Finding the Third Proportional to 34,354 and 73,207

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Solution

The third proportional to 34,354 and 73,207 is: 156,001.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,354 : 73,207 = 73,207 : x
  2. Step 2: Convert to fraction form
    34,354/73,207 = 73,207/x
  3. Step 3: Cross multiply
    34,354x = 73,207 × 73,207
  4. Step 4: Simplify right side
    34,354x = 5,359,264,849
  5. Step 5: Solve for x
    x = 5,359,264,849/34,354
  6. Step 6: Final answer
    x = 156,001.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.