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Finding the Third Proportional to 101,832.19 and 146,139.19

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Solution

The third proportional to 101,832.19 and 146,139.19 is: 209,724.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,832.19 : 146,139.19 = 146,139.19 : x
  2. Step 2: Convert to fraction form
    101,832.19/146,139.19 = 146,139.19/x
  3. Step 3: Cross multiply
    101,832.19x = 146,139.19 × 146,139.19
  4. Step 4: Simplify right side
    101,832.19x = 21,356,662,123.16
  5. Step 5: Solve for x
    x = 21,356,662,123.16/101,832.19
  6. Step 6: Final answer
    x = 209,724.08

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.