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Finding the Third Proportional to 73,386 and 154,653.75

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Solution

The third proportional to 73,386 and 154,653.75 is: 325,917.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,386 : 154,653.75 = 154,653.75 : x
  2. Step 2: Convert to fraction form
    73,386/154,653.75 = 154,653.75/x
  3. Step 3: Cross multiply
    73,386x = 154,653.75 × 154,653.75
  4. Step 4: Simplify right side
    73,386x = 23,917,782,389.06
  5. Step 5: Solve for x
    x = 23,917,782,389.06/73,386
  6. Step 6: Final answer
    x = 325,917.51

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.