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Finding the Third Proportional to 64,512.84 and 151,785.42

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Solution

The third proportional to 64,512.84 and 151,785.42 is: 357,119.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,512.84 : 151,785.42 = 151,785.42 : x
  2. Step 2: Convert to fraction form
    64,512.84/151,785.42 = 151,785.42/x
  3. Step 3: Cross multiply
    64,512.84x = 151,785.42 × 151,785.42
  4. Step 4: Simplify right side
    64,512.84x = 23,038,814,293.77
  5. Step 5: Solve for x
    x = 23,038,814,293.77/64,512.84
  6. Step 6: Final answer
    x = 357,119.81

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.