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Finding the Third Proportional to 52,880 and 70,499

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Solution

The third proportional to 52,880 and 70,499 is: 93,988.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,880 : 70,499 = 70,499 : x
  2. Step 2: Convert to fraction form
    52,880/70,499 = 70,499/x
  3. Step 3: Cross multiply
    52,880x = 70,499 × 70,499
  4. Step 4: Simplify right side
    52,880x = 4,970,109,001
  5. Step 5: Solve for x
    x = 4,970,109,001/52,880
  6. Step 6: Final answer
    x = 93,988.45

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.