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Finding the Third Proportional to 55,410 and 118,758

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Solution

The third proportional to 55,410 and 118,758 is: 254,529.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,410 : 118,758 = 118,758 : x
  2. Step 2: Convert to fraction form
    55,410/118,758 = 118,758/x
  3. Step 3: Cross multiply
    55,410x = 118,758 × 118,758
  4. Step 4: Simplify right side
    55,410x = 14,103,462,564
  5. Step 5: Solve for x
    x = 14,103,462,564/55,410
  6. Step 6: Final answer
    x = 254,529.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.