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Finding the Third Proportional to 54,297 and 115,148.25

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Solution

The third proportional to 54,297 and 115,148.25 is: 244,196.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,297 : 115,148.25 = 115,148.25 : x
  2. Step 2: Convert to fraction form
    54,297/115,148.25 = 115,148.25/x
  3. Step 3: Cross multiply
    54,297x = 115,148.25 × 115,148.25
  4. Step 4: Simplify right side
    54,297x = 13,259,119,478.06
  5. Step 5: Solve for x
    x = 13,259,119,478.06/54,297
  6. Step 6: Final answer
    x = 244,196.17

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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.