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Finding the Third Proportional to 58,530 and 90,539

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Solution

The third proportional to 58,530 and 90,539 is: 140,053.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,530 : 90,539 = 90,539 : x
  2. Step 2: Convert to fraction form
    58,530/90,539 = 90,539/x
  3. Step 3: Cross multiply
    58,530x = 90,539 × 90,539
  4. Step 4: Simplify right side
    58,530x = 8,197,310,521
  5. Step 5: Solve for x
    x = 8,197,310,521/58,530
  6. Step 6: Final answer
    x = 140,053.14

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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.