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Finding the Third Proportional to 35,301 and 75,525

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Solution

The third proportional to 35,301 and 75,525 is: 161,582.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,301 : 75,525 = 75,525 : x
  2. Step 2: Convert to fraction form
    35,301/75,525 = 75,525/x
  3. Step 3: Cross multiply
    35,301x = 75,525 × 75,525
  4. Step 4: Simplify right side
    35,301x = 5,704,025,625
  5. Step 5: Solve for x
    x = 5,704,025,625/35,301
  6. Step 6: Final answer
    x = 161,582.55

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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.