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Finding the Third Proportional to 67,415.63 and 147,440.25

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Solution

The third proportional to 67,415.63 and 147,440.25 is: 322,456.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,415.63 : 147,440.25 = 147,440.25 : x
  2. Step 2: Convert to fraction form
    67,415.63/147,440.25 = 147,440.25/x
  3. Step 3: Cross multiply
    67,415.63x = 147,440.25 × 147,440.25
  4. Step 4: Simplify right side
    67,415.63x = 21,738,627,320.06
  5. Step 5: Solve for x
    x = 21,738,627,320.06/67,415.63
  6. Step 6: Final answer
    x = 322,456.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.