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Finding the Third Proportional to 84,755 and 115,107

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Solution

The third proportional to 84,755 and 115,107 is: 156,328.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,755 : 115,107 = 115,107 : x
  2. Step 2: Convert to fraction form
    84,755/115,107 = 115,107/x
  3. Step 3: Cross multiply
    84,755x = 115,107 × 115,107
  4. Step 4: Simplify right side
    84,755x = 13,249,621,449
  5. Step 5: Solve for x
    x = 13,249,621,449/84,755
  6. Step 6: Final answer
    x = 156,328.49

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.