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Finding the Third Proportional to 59,498 and 79,322

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Solution

The third proportional to 59,498 and 79,322 is: 105,751.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,498 : 79,322 = 79,322 : x
  2. Step 2: Convert to fraction form
    59,498/79,322 = 79,322/x
  3. Step 3: Cross multiply
    59,498x = 79,322 × 79,322
  4. Step 4: Simplify right side
    59,498x = 6,291,979,684
  5. Step 5: Solve for x
    x = 6,291,979,684/59,498
  6. Step 6: Final answer
    x = 105,751.11

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.