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Finding the Third Proportional to 84,924 and 127,407

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Solution

The third proportional to 84,924 and 127,407 is: 191,142.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,924 : 127,407 = 127,407 : x
  2. Step 2: Convert to fraction form
    84,924/127,407 = 127,407/x
  3. Step 3: Cross multiply
    84,924x = 127,407 × 127,407
  4. Step 4: Simplify right side
    84,924x = 16,232,543,649
  5. Step 5: Solve for x
    x = 16,232,543,649/84,924
  6. Step 6: Final answer
    x = 191,142.01

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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.