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Finding the Third Proportional to 55,864 and 117,473

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Solution

The third proportional to 55,864 and 117,473 is: 247,026.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,864 : 117,473 = 117,473 : x
  2. Step 2: Convert to fraction form
    55,864/117,473 = 117,473/x
  3. Step 3: Cross multiply
    55,864x = 117,473 × 117,473
  4. Step 4: Simplify right side
    55,864x = 13,799,905,729
  5. Step 5: Solve for x
    x = 13,799,905,729/55,864
  6. Step 6: Final answer
    x = 247,026.81

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.