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Finding the Third Proportional to 64,015.31 and 147,592.13

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Solution

The third proportional to 64,015.31 and 147,592.13 is: 340,284.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,015.31 : 147,592.13 = 147,592.13 : x
  2. Step 2: Convert to fraction form
    64,015.31/147,592.13 = 147,592.13/x
  3. Step 3: Cross multiply
    64,015.31x = 147,592.13 × 147,592.13
  4. Step 4: Simplify right side
    64,015.31x = 21,783,435,362.02
  5. Step 5: Solve for x
    x = 21,783,435,362.02/64,015.31
  6. Step 6: Final answer
    x = 340,284.76

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.