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Finding the Third Proportional to 53,721.84 and 113,846.06

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Solution

The third proportional to 53,721.84 and 113,846.06 is: 241,259.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,721.84 : 113,846.06 = 113,846.06 : x
  2. Step 2: Convert to fraction form
    53,721.84/113,846.06 = 113,846.06/x
  3. Step 3: Cross multiply
    53,721.84x = 113,846.06 × 113,846.06
  4. Step 4: Simplify right side
    53,721.84x = 12,960,925,946.75
  5. Step 5: Solve for x
    x = 12,960,925,946.75/53,721.84
  6. Step 6: Final answer
    x = 241,259.89

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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.