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Finding the Third Proportional to 75,306 and 110,442

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Solution

The third proportional to 75,306 and 110,442 is: 161,971.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,306 : 110,442 = 110,442 : x
  2. Step 2: Convert to fraction form
    75,306/110,442 = 110,442/x
  3. Step 3: Cross multiply
    75,306x = 110,442 × 110,442
  4. Step 4: Simplify right side
    75,306x = 12,197,435,364
  5. Step 5: Solve for x
    x = 12,197,435,364/75,306
  6. Step 6: Final answer
    x = 161,971.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.