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Finding the Third Proportional to 112,482 and 237,612

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Solution

The third proportional to 112,482 and 237,612 is: 501,942.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,482 : 237,612 = 237,612 : x
  2. Step 2: Convert to fraction form
    112,482/237,612 = 237,612/x
  3. Step 3: Cross multiply
    112,482x = 237,612 × 237,612
  4. Step 4: Simplify right side
    112,482x = 56,459,462,544
  5. Step 5: Solve for x
    x = 56,459,462,544/112,482
  6. Step 6: Final answer
    x = 501,942.20

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.