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Finding the Third Proportional to 51,524 and 112,354

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Solution

The third proportional to 51,524 and 112,354 is: 245,000.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,524 : 112,354 = 112,354 : x
  2. Step 2: Convert to fraction form
    51,524/112,354 = 112,354/x
  3. Step 3: Cross multiply
    51,524x = 112,354 × 112,354
  4. Step 4: Simplify right side
    51,524x = 12,623,421,316
  5. Step 5: Solve for x
    x = 12,623,421,316/51,524
  6. Step 6: Final answer
    x = 245,000.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.