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Finding the Third Proportional to 71,106 and 114,543

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Solution

The third proportional to 71,106 and 114,543 is: 184,514.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,106 : 114,543 = 114,543 : x
  2. Step 2: Convert to fraction form
    71,106/114,543 = 114,543/x
  3. Step 3: Cross multiply
    71,106x = 114,543 × 114,543
  4. Step 4: Simplify right side
    71,106x = 13,120,098,849
  5. Step 5: Solve for x
    x = 13,120,098,849/71,106
  6. Step 6: Final answer
    x = 184,514.65

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.