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Finding the Third Proportional to 64,112 and 147,584

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Solution

The third proportional to 64,112 and 147,584 is: 339,734.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,112 : 147,584 = 147,584 : x
  2. Step 2: Convert to fraction form
    64,112/147,584 = 147,584/x
  3. Step 3: Cross multiply
    64,112x = 147,584 × 147,584
  4. Step 4: Simplify right side
    64,112x = 21,781,037,056
  5. Step 5: Solve for x
    x = 21,781,037,056/64,112
  6. Step 6: Final answer
    x = 339,734.17

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.