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Finding the Third Proportional to 71,106 and 95,415

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Solution

The third proportional to 71,106 and 95,415 is: 128,034.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,106 : 95,415 = 95,415 : x
  2. Step 2: Convert to fraction form
    71,106/95,415 = 95,415/x
  3. Step 3: Cross multiply
    71,106x = 95,415 × 95,415
  4. Step 4: Simplify right side
    71,106x = 9,104,022,225
  5. Step 5: Solve for x
    x = 9,104,022,225/71,106
  6. Step 6: Final answer
    x = 128,034.52

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.