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Finding the Third Proportional to 58,478 and 120,967

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Solution

The third proportional to 58,478 and 120,967 is: 250,231.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,478 : 120,967 = 120,967 : x
  2. Step 2: Convert to fraction form
    58,478/120,967 = 120,967/x
  3. Step 3: Cross multiply
    58,478x = 120,967 × 120,967
  4. Step 4: Simplify right side
    58,478x = 14,633,015,089
  5. Step 5: Solve for x
    x = 14,633,015,089/58,478
  6. Step 6: Final answer
    x = 250,231.11

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.