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Finding the Third Proportional to 56,697 and 123,597

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Solution

The third proportional to 56,697 and 123,597 is: 269,436.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,697 : 123,597 = 123,597 : x
  2. Step 2: Convert to fraction form
    56,697/123,597 = 123,597/x
  3. Step 3: Cross multiply
    56,697x = 123,597 × 123,597
  4. Step 4: Simplify right side
    56,697x = 15,276,218,409
  5. Step 5: Solve for x
    x = 15,276,218,409/56,697
  6. Step 6: Final answer
    x = 269,436.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.