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Finding the Third Proportional to 34,510 and 75,518

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Solution

The third proportional to 34,510 and 75,518 is: 165,255.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,510 : 75,518 = 75,518 : x
  2. Step 2: Convert to fraction form
    34,510/75,518 = 75,518/x
  3. Step 3: Cross multiply
    34,510x = 75,518 × 75,518
  4. Step 4: Simplify right side
    34,510x = 5,702,968,324
  5. Step 5: Solve for x
    x = 5,702,968,324/34,510
  6. Step 6: Final answer
    x = 165,255.53

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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.