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Finding the Third Proportional to 84,920 and 127,594

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Solution

The third proportional to 84,920 and 127,594 is: 191,712.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,920 : 127,594 = 127,594 : x
  2. Step 2: Convert to fraction form
    84,920/127,594 = 127,594/x
  3. Step 3: Cross multiply
    84,920x = 127,594 × 127,594
  4. Step 4: Simplify right side
    84,920x = 16,280,228,836
  5. Step 5: Solve for x
    x = 16,280,228,836/84,920
  6. Step 6: Final answer
    x = 191,712.54

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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.