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Finding the Third Proportional to 53,248 and 79,872

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Solution

The third proportional to 53,248 and 79,872 is: 119,808

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,248 : 79,872 = 79,872 : x
  2. Step 2: Convert to fraction form
    53,248/79,872 = 79,872/x
  3. Step 3: Cross multiply
    53,248x = 79,872 × 79,872
  4. Step 4: Simplify right side
    53,248x = 6,379,536,384
  5. Step 5: Solve for x
    x = 6,379,536,384/53,248
  6. Step 6: Final answer
    x = 119,808

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.