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Finding the Third Proportional to 112,306 and 242,108

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Solution

The third proportional to 112,306 and 242,108 is: 521,933.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,306 : 242,108 = 242,108 : x
  2. Step 2: Convert to fraction form
    112,306/242,108 = 242,108/x
  3. Step 3: Cross multiply
    112,306x = 242,108 × 242,108
  4. Step 4: Simplify right side
    112,306x = 58,616,283,664
  5. Step 5: Solve for x
    x = 58,616,283,664/112,306
  6. Step 6: Final answer
    x = 521,933.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.