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Finding the Third Proportional to 55,798 and 83,697

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Solution

The third proportional to 55,798 and 83,697 is: 125,545.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,798 : 83,697 = 83,697 : x
  2. Step 2: Convert to fraction form
    55,798/83,697 = 83,697/x
  3. Step 3: Cross multiply
    55,798x = 83,697 × 83,697
  4. Step 4: Simplify right side
    55,798x = 7,005,187,809
  5. Step 5: Solve for x
    x = 7,005,187,809/55,798
  6. Step 6: Final answer
    x = 125,545.50

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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.