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Finding the Third Proportional to 57,798 and 84,438

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Solution

The third proportional to 57,798 and 84,438 is: 123,356.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,798 : 84,438 = 84,438 : x
  2. Step 2: Convert to fraction form
    57,798/84,438 = 84,438/x
  3. Step 3: Cross multiply
    57,798x = 84,438 × 84,438
  4. Step 4: Simplify right side
    57,798x = 7,129,775,844
  5. Step 5: Solve for x
    x = 7,129,775,844/57,798
  6. Step 6: Final answer
    x = 123,356.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.