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Finding the Third Proportional to 34,282 and 75,124

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Solution

The third proportional to 34,282 and 75,124 is: 164,623.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,282 : 75,124 = 75,124 : x
  2. Step 2: Convert to fraction form
    34,282/75,124 = 75,124/x
  3. Step 3: Cross multiply
    34,282x = 75,124 × 75,124
  4. Step 4: Simplify right side
    34,282x = 5,643,615,376
  5. Step 5: Solve for x
    x = 5,643,615,376/34,282
  6. Step 6: Final answer
    x = 164,623.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.