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Finding the Third Proportional to 84,177 and 181,707.19

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Solution

The third proportional to 84,177 and 181,707.19 is: 392,239.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,177 : 181,707.19 = 181,707.19 : x
  2. Step 2: Convert to fraction form
    84,177/181,707.19 = 181,707.19/x
  3. Step 3: Cross multiply
    84,177x = 181,707.19 × 181,707.19
  4. Step 4: Simplify right side
    84,177x = 33,017,501,989.16
  5. Step 5: Solve for x
    x = 33,017,501,989.16/84,177
  6. Step 6: Final answer
    x = 392,239.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.