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Finding the Third Proportional to 59,348 and 90,519

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Solution

The third proportional to 59,348 and 90,519 is: 138,061.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,348 : 90,519 = 90,519 : x
  2. Step 2: Convert to fraction form
    59,348/90,519 = 90,519/x
  3. Step 3: Cross multiply
    59,348x = 90,519 × 90,519
  4. Step 4: Simplify right side
    59,348x = 8,193,689,361
  5. Step 5: Solve for x
    x = 8,193,689,361/59,348
  6. Step 6: Final answer
    x = 138,061.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.