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Finding the Third Proportional to 59,826.25 and 130,519

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Solution

The third proportional to 59,826.25 and 130,519 is: 284,744.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,826.25 : 130,519 = 130,519 : x
  2. Step 2: Convert to fraction form
    59,826.25/130,519 = 130,519/x
  3. Step 3: Cross multiply
    59,826.25x = 130,519 × 130,519
  4. Step 4: Simplify right side
    59,826.25x = 17,035,209,361
  5. Step 5: Solve for x
    x = 17,035,209,361/59,826.25
  6. Step 6: Final answer
    x = 284,744.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.