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Finding the Third Proportional to 75,301 and 163,723

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Solution

The third proportional to 75,301 and 163,723 is: 355,974.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,301 : 163,723 = 163,723 : x
  2. Step 2: Convert to fraction form
    75,301/163,723 = 163,723/x
  3. Step 3: Cross multiply
    75,301x = 163,723 × 163,723
  4. Step 4: Simplify right side
    75,301x = 26,805,220,729
  5. Step 5: Solve for x
    x = 26,805,220,729/75,301
  6. Step 6: Final answer
    x = 355,974.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.