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Finding the Third Proportional to 48,157 and 116,017

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Solution

The third proportional to 48,157 and 116,017 is: 279,501.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,157 : 116,017 = 116,017 : x
  2. Step 2: Convert to fraction form
    48,157/116,017 = 116,017/x
  3. Step 3: Cross multiply
    48,157x = 116,017 × 116,017
  4. Step 4: Simplify right side
    48,157x = 13,459,944,289
  5. Step 5: Solve for x
    x = 13,459,944,289/48,157
  6. Step 6: Final answer
    x = 279,501.30

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.