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Finding the Third Proportional to 89,810 and 146,009

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Solution

The third proportional to 89,810 and 146,009 is: 237,374.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,810 : 146,009 = 146,009 : x
  2. Step 2: Convert to fraction form
    89,810/146,009 = 146,009/x
  3. Step 3: Cross multiply
    89,810x = 146,009 × 146,009
  4. Step 4: Simplify right side
    89,810x = 21,318,628,081
  5. Step 5: Solve for x
    x = 21,318,628,081/89,810
  6. Step 6: Final answer
    x = 237,374.77

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.