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Finding the Third Proportional to 64,525.78 and 151,812.56

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Solution

The third proportional to 64,525.78 and 151,812.56 is: 357,175.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,525.78 : 151,812.56 = 151,812.56 : x
  2. Step 2: Convert to fraction form
    64,525.78/151,812.56 = 151,812.56/x
  3. Step 3: Cross multiply
    64,525.78x = 151,812.56 × 151,812.56
  4. Step 4: Simplify right side
    64,525.78x = 23,047,054,132.82
  5. Step 5: Solve for x
    x = 23,047,054,132.82/64,525.78
  6. Step 6: Final answer
    x = 357,175.90

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