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Finding the Third Proportional to 53,250.75 and 113,607

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Solution

The third proportional to 53,250.75 and 113,607 is: 242,373.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,250.75 : 113,607 = 113,607 : x
  2. Step 2: Convert to fraction form
    53,250.75/113,607 = 113,607/x
  3. Step 3: Cross multiply
    53,250.75x = 113,607 × 113,607
  4. Step 4: Simplify right side
    53,250.75x = 12,906,550,449
  5. Step 5: Solve for x
    x = 12,906,550,449/53,250.75
  6. Step 6: Final answer
    x = 242,373.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.