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Finding the Third Proportional to 75,926 and 163,468

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Solution

The third proportional to 75,926 and 163,468 is: 351,945.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,926 : 163,468 = 163,468 : x
  2. Step 2: Convert to fraction form
    75,926/163,468 = 163,468/x
  3. Step 3: Cross multiply
    75,926x = 163,468 × 163,468
  4. Step 4: Simplify right side
    75,926x = 26,721,787,024
  5. Step 5: Solve for x
    x = 26,721,787,024/75,926
  6. Step 6: Final answer
    x = 351,945.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.