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Finding the Third Proportional to 64,368.42 and 140,174.93

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Solution

The third proportional to 64,368.42 and 140,174.93 is: 305,258.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,368.42 : 140,174.93 = 140,174.93 : x
  2. Step 2: Convert to fraction form
    64,368.42/140,174.93 = 140,174.93/x
  3. Step 3: Cross multiply
    64,368.42x = 140,174.93 × 140,174.93
  4. Step 4: Simplify right side
    64,368.42x = 19,649,010,912.90
  5. Step 5: Solve for x
    x = 19,649,010,912.90/64,368.42
  6. Step 6: Final answer
    x = 305,258.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.