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Finding the Third Proportional to 55,088 and 113,438

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Solution

The third proportional to 55,088 and 113,438 is: 233,593.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,088 : 113,438 = 113,438 : x
  2. Step 2: Convert to fraction form
    55,088/113,438 = 113,438/x
  3. Step 3: Cross multiply
    55,088x = 113,438 × 113,438
  4. Step 4: Simplify right side
    55,088x = 12,868,179,844
  5. Step 5: Solve for x
    x = 12,868,179,844/55,088
  6. Step 6: Final answer
    x = 233,593.16

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.