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Finding the Third Proportional to 87,798 and 125,471

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Solution

The third proportional to 87,798 and 125,471 is: 179,309.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,798 : 125,471 = 125,471 : x
  2. Step 2: Convert to fraction form
    87,798/125,471 = 125,471/x
  3. Step 3: Cross multiply
    87,798x = 125,471 × 125,471
  4. Step 4: Simplify right side
    87,798x = 15,742,971,841
  5. Step 5: Solve for x
    x = 15,742,971,841/87,798
  6. Step 6: Final answer
    x = 179,309.00

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.