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Finding the Third Proportional to 64,807.50 and 150,127.50

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Solution

The third proportional to 64,807.50 and 150,127.50 is: 347,772.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,807.50 : 150,127.50 = 150,127.50 : x
  2. Step 2: Convert to fraction form
    64,807.50/150,127.50 = 150,127.50/x
  3. Step 3: Cross multiply
    64,807.50x = 150,127.50 × 150,127.50
  4. Step 4: Simplify right side
    64,807.50x = 22,538,266,256.25
  5. Step 5: Solve for x
    x = 22,538,266,256.25/64,807.50
  6. Step 6: Final answer
    x = 347,772.50

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.