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Finding the Third Proportional to 94,089 and 146,850

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Solution

The third proportional to 94,089 and 146,850 is: 229,197.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,089 : 146,850 = 146,850 : x
  2. Step 2: Convert to fraction form
    94,089/146,850 = 146,850/x
  3. Step 3: Cross multiply
    94,089x = 146,850 × 146,850
  4. Step 4: Simplify right side
    94,089x = 21,564,922,500
  5. Step 5: Solve for x
    x = 21,564,922,500/94,089
  6. Step 6: Final answer
    x = 229,197.06

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.