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Finding the Third Proportional to 57,597 and 77,403

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Solution

The third proportional to 57,597 and 77,403 is: 104,019.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,597 : 77,403 = 77,403 : x
  2. Step 2: Convert to fraction form
    57,597/77,403 = 77,403/x
  3. Step 3: Cross multiply
    57,597x = 77,403 × 77,403
  4. Step 4: Simplify right side
    57,597x = 5,991,224,409
  5. Step 5: Solve for x
    x = 5,991,224,409/57,597
  6. Step 6: Final answer
    x = 104,019.73

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.