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Finding the Third Proportional to 73,905 and 113,721

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Solution

The third proportional to 73,905 and 113,721 is: 174,987.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,905 : 113,721 = 113,721 : x
  2. Step 2: Convert to fraction form
    73,905/113,721 = 113,721/x
  3. Step 3: Cross multiply
    73,905x = 113,721 × 113,721
  4. Step 4: Simplify right side
    73,905x = 12,932,465,841
  5. Step 5: Solve for x
    x = 12,932,465,841/73,905
  6. Step 6: Final answer
    x = 174,987.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.