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Finding the Third Proportional to 53,001.84 and 115,204.78

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Solution

The third proportional to 53,001.84 and 115,204.78 is: 250,409.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,001.84 : 115,204.78 = 115,204.78 : x
  2. Step 2: Convert to fraction form
    53,001.84/115,204.78 = 115,204.78/x
  3. Step 3: Cross multiply
    53,001.84x = 115,204.78 × 115,204.78
  4. Step 4: Simplify right side
    53,001.84x = 13,272,141,622.86
  5. Step 5: Solve for x
    x = 13,272,141,622.86/53,001.84
  6. Step 6: Final answer
    x = 250,409.06

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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.