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Finding the Third Proportional to 54,222 and 115,005.75

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Solution

The third proportional to 54,222 and 115,005.75 is: 243,929.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,222 : 115,005.75 = 115,005.75 : x
  2. Step 2: Convert to fraction form
    54,222/115,005.75 = 115,005.75/x
  3. Step 3: Cross multiply
    54,222x = 115,005.75 × 115,005.75
  4. Step 4: Simplify right side
    54,222x = 13,226,322,533.06
  5. Step 5: Solve for x
    x = 13,226,322,533.06/54,222
  6. Step 6: Final answer
    x = 243,929.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.