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Finding the Third Proportional to 74,767.38 and 164,066.19

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Solution

The third proportional to 74,767.38 and 164,066.19 is: 360,019.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,767.38 : 164,066.19 = 164,066.19 : x
  2. Step 2: Convert to fraction form
    74,767.38/164,066.19 = 164,066.19/x
  3. Step 3: Cross multiply
    74,767.38x = 164,066.19 × 164,066.19
  4. Step 4: Simplify right side
    74,767.38x = 26,917,713,239.90
  5. Step 5: Solve for x
    x = 26,917,713,239.90/74,767.38
  6. Step 6: Final answer
    x = 360,019.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.