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Finding the Third Proportional to 34,851 and 75,270

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Solution

The third proportional to 34,851 and 75,270 is: 162,565.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,851 : 75,270 = 75,270 : x
  2. Step 2: Convert to fraction form
    34,851/75,270 = 75,270/x
  3. Step 3: Cross multiply
    34,851x = 75,270 × 75,270
  4. Step 4: Simplify right side
    34,851x = 5,665,572,900
  5. Step 5: Solve for x
    x = 5,665,572,900/34,851
  6. Step 6: Final answer
    x = 162,565.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.