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Finding the Third Proportional to 58,408 and 89,880

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Solution

The third proportional to 58,408 and 89,880 is: 138,310.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,408 : 89,880 = 89,880 : x
  2. Step 2: Convert to fraction form
    58,408/89,880 = 89,880/x
  3. Step 3: Cross multiply
    58,408x = 89,880 × 89,880
  4. Step 4: Simplify right side
    58,408x = 8,078,414,400
  5. Step 5: Solve for x
    x = 8,078,414,400/58,408
  6. Step 6: Final answer
    x = 138,310.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.