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Finding the Third Proportional to 84,980 and 127,502

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Solution

The third proportional to 84,980 and 127,502 is: 191,301.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,980 : 127,502 = 127,502 : x
  2. Step 2: Convert to fraction form
    84,980/127,502 = 127,502/x
  3. Step 3: Cross multiply
    84,980x = 127,502 × 127,502
  4. Step 4: Simplify right side
    84,980x = 16,256,760,004
  5. Step 5: Solve for x
    x = 16,256,760,004/84,980
  6. Step 6: Final answer
    x = 191,301.01

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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.