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Finding the Third Proportional to 58,339 and 90,502

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Solution

The third proportional to 58,339 and 90,502 is: 140,396.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,339 : 90,502 = 90,502 : x
  2. Step 2: Convert to fraction form
    58,339/90,502 = 90,502/x
  3. Step 3: Cross multiply
    58,339x = 90,502 × 90,502
  4. Step 4: Simplify right side
    58,339x = 8,190,612,004
  5. Step 5: Solve for x
    x = 8,190,612,004/58,339
  6. Step 6: Final answer
    x = 140,396.85

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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.