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Finding the Third Proportional to 59,748 and 81,193

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Solution

The third proportional to 59,748 and 81,193 is: 110,335.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,748 : 81,193 = 81,193 : x
  2. Step 2: Convert to fraction form
    59,748/81,193 = 81,193/x
  3. Step 3: Cross multiply
    59,748x = 81,193 × 81,193
  4. Step 4: Simplify right side
    59,748x = 6,592,303,249
  5. Step 5: Solve for x
    x = 6,592,303,249/59,748
  6. Step 6: Final answer
    x = 110,335.13

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.