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Finding the Third Proportional to 52,521.75 and 78,597

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Solution

The third proportional to 52,521.75 and 78,597 is: 117,617.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,521.75 : 78,597 = 78,597 : x
  2. Step 2: Convert to fraction form
    52,521.75/78,597 = 78,597/x
  3. Step 3: Cross multiply
    52,521.75x = 78,597 × 78,597
  4. Step 4: Simplify right side
    52,521.75x = 6,177,488,409
  5. Step 5: Solve for x
    x = 6,177,488,409/52,521.75
  6. Step 6: Final answer
    x = 117,617.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.