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Finding the Third Proportional to 58,385 and 90,311

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Solution

The third proportional to 58,385 and 90,311 is: 139,694.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,385 : 90,311 = 90,311 : x
  2. Step 2: Convert to fraction form
    58,385/90,311 = 90,311/x
  3. Step 3: Cross multiply
    58,385x = 90,311 × 90,311
  4. Step 4: Simplify right side
    58,385x = 8,156,076,721
  5. Step 5: Solve for x
    x = 8,156,076,721/58,385
  6. Step 6: Final answer
    x = 139,694.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.