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Finding the Third Proportional to 64,065.94 and 153,011.81

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Solution

The third proportional to 64,065.94 and 153,011.81 is: 365,445.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,065.94 : 153,011.81 = 153,011.81 : x
  2. Step 2: Convert to fraction form
    64,065.94/153,011.81 = 153,011.81/x
  3. Step 3: Cross multiply
    64,065.94x = 153,011.81 × 153,011.81
  4. Step 4: Simplify right side
    64,065.94x = 23,412,614,764.54
  5. Step 5: Solve for x
    x = 23,412,614,764.54/64,065.94
  6. Step 6: Final answer
    x = 365,445.60

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.