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Finding the Third Proportional to 55,768 and 79,499

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Solution

The third proportional to 55,768 and 79,499 is: 113,328.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,768 : 79,499 = 79,499 : x
  2. Step 2: Convert to fraction form
    55,768/79,499 = 79,499/x
  3. Step 3: Cross multiply
    55,768x = 79,499 × 79,499
  4. Step 4: Simplify right side
    55,768x = 6,320,091,001
  5. Step 5: Solve for x
    x = 6,320,091,001/55,768
  6. Step 6: Final answer
    x = 113,328.27

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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.