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Finding the Third Proportional to 55,298 and 119,928

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Solution

The third proportional to 55,298 and 119,928 is: 260,094.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,298 : 119,928 = 119,928 : x
  2. Step 2: Convert to fraction form
    55,298/119,928 = 119,928/x
  3. Step 3: Cross multiply
    55,298x = 119,928 × 119,928
  4. Step 4: Simplify right side
    55,298x = 14,382,725,184
  5. Step 5: Solve for x
    x = 14,382,725,184/55,298
  6. Step 6: Final answer
    x = 260,094.85

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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.