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Finding the Third Proportional to 35,271 and 75,348

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Solution

The third proportional to 35,271 and 75,348 is: 160,962.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,271 : 75,348 = 75,348 : x
  2. Step 2: Convert to fraction form
    35,271/75,348 = 75,348/x
  3. Step 3: Cross multiply
    35,271x = 75,348 × 75,348
  4. Step 4: Simplify right side
    35,271x = 5,677,321,104
  5. Step 5: Solve for x
    x = 5,677,321,104/35,271
  6. Step 6: Final answer
    x = 160,962.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.