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Finding the Third Proportional to 52,894 and 72,530

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Solution

The third proportional to 52,894 and 72,530 is: 99,455.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,894 : 72,530 = 72,530 : x
  2. Step 2: Convert to fraction form
    52,894/72,530 = 72,530/x
  3. Step 3: Cross multiply
    52,894x = 72,530 × 72,530
  4. Step 4: Simplify right side
    52,894x = 5,260,600,900
  5. Step 5: Solve for x
    x = 5,260,600,900/52,894
  6. Step 6: Final answer
    x = 99,455.53

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.