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Finding the Third Proportional to 84,962 and 127,475

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Solution

The third proportional to 84,962 and 127,475 is: 191,260.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,962 : 127,475 = 127,475 : x
  2. Step 2: Convert to fraction form
    84,962/127,475 = 127,475/x
  3. Step 3: Cross multiply
    84,962x = 127,475 × 127,475
  4. Step 4: Simplify right side
    84,962x = 16,249,875,625
  5. Step 5: Solve for x
    x = 16,249,875,625/84,962
  6. Step 6: Final answer
    x = 191,260.51

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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.