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Finding the Third Proportional to 112,465 and 237,573

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Solution

The third proportional to 112,465 and 237,573 is: 501,853.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,465 : 237,573 = 237,573 : x
  2. Step 2: Convert to fraction form
    112,465/237,573 = 237,573/x
  3. Step 3: Cross multiply
    112,465x = 237,573 × 237,573
  4. Step 4: Simplify right side
    112,465x = 56,440,930,329
  5. Step 5: Solve for x
    x = 56,440,930,329/112,465
  6. Step 6: Final answer
    x = 501,853.29

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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.