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Finding the Third Proportional to 112,273 and 240,107

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Solution

The third proportional to 112,273 and 240,107 is: 513,492.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,273 : 240,107 = 240,107 : x
  2. Step 2: Convert to fraction form
    112,273/240,107 = 240,107/x
  3. Step 3: Cross multiply
    112,273x = 240,107 × 240,107
  4. Step 4: Simplify right side
    112,273x = 57,651,371,449
  5. Step 5: Solve for x
    x = 57,651,371,449/112,273
  6. Step 6: Final answer
    x = 513,492.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.