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Finding the Third Proportional to 112,314 and 242,124

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Solution

The third proportional to 112,314 and 242,124 is: 521,965.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,314 : 242,124 = 242,124 : x
  2. Step 2: Convert to fraction form
    112,314/242,124 = 242,124/x
  3. Step 3: Cross multiply
    112,314x = 242,124 × 242,124
  4. Step 4: Simplify right side
    112,314x = 58,624,031,376
  5. Step 5: Solve for x
    x = 58,624,031,376/112,314
  6. Step 6: Final answer
    x = 521,965.48

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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.