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Finding the Third Proportional to 109,754 and 242,356

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Solution

The third proportional to 109,754 and 242,356 is: 535,164.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,754 : 242,356 = 242,356 : x
  2. Step 2: Convert to fraction form
    109,754/242,356 = 242,356/x
  3. Step 3: Cross multiply
    109,754x = 242,356 × 242,356
  4. Step 4: Simplify right side
    109,754x = 58,736,430,736
  5. Step 5: Solve for x
    x = 58,736,430,736/109,754
  6. Step 6: Final answer
    x = 535,164.37

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.