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Finding the Third Proportional to 48,069 and 97,482

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Solution

The third proportional to 48,069 and 97,482 is: 197,689.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,069 : 97,482 = 97,482 : x
  2. Step 2: Convert to fraction form
    48,069/97,482 = 97,482/x
  3. Step 3: Cross multiply
    48,069x = 97,482 × 97,482
  4. Step 4: Simplify right side
    48,069x = 9,502,740,324
  5. Step 5: Solve for x
    x = 9,502,740,324/48,069
  6. Step 6: Final answer
    x = 197,689.58

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.