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Finding the Third Proportional to 92,218.50 and 146,058.19

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Solution

The third proportional to 92,218.50 and 146,058.19 is: 231,330.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,218.50 : 146,058.19 = 146,058.19 : x
  2. Step 2: Convert to fraction form
    92,218.50/146,058.19 = 146,058.19/x
  3. Step 3: Cross multiply
    92,218.50x = 146,058.19 × 146,058.19
  4. Step 4: Simplify right side
    92,218.50x = 21,332,994,135.79
  5. Step 5: Solve for x
    x = 21,332,994,135.79/92,218.50
  6. Step 6: Final answer
    x = 231,330.96

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.