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Finding the Third Proportional to 66,642 and 144,340.50

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Solution

The third proportional to 66,642 and 144,340.50 is: 312,628.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,642 : 144,340.50 = 144,340.50 : x
  2. Step 2: Convert to fraction form
    66,642/144,340.50 = 144,340.50/x
  3. Step 3: Cross multiply
    66,642x = 144,340.50 × 144,340.50
  4. Step 4: Simplify right side
    66,642x = 20,834,179,940.25
  5. Step 5: Solve for x
    x = 20,834,179,940.25/66,642
  6. Step 6: Final answer
    x = 312,628.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.