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Finding the Third Proportional to 54,127 and 118,091

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Solution

The third proportional to 54,127 and 118,091 is: 257,643.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,127 : 118,091 = 118,091 : x
  2. Step 2: Convert to fraction form
    54,127/118,091 = 118,091/x
  3. Step 3: Cross multiply
    54,127x = 118,091 × 118,091
  4. Step 4: Simplify right side
    54,127x = 13,945,484,281
  5. Step 5: Solve for x
    x = 13,945,484,281/54,127
  6. Step 6: Final answer
    x = 257,643.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.