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Finding the Third Proportional to 66,378 and 144,417

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Solution

The third proportional to 66,378 and 144,417 is: 314,204.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,378 : 144,417 = 144,417 : x
  2. Step 2: Convert to fraction form
    66,378/144,417 = 144,417/x
  3. Step 3: Cross multiply
    66,378x = 144,417 × 144,417
  4. Step 4: Simplify right side
    66,378x = 20,856,269,889
  5. Step 5: Solve for x
    x = 20,856,269,889/66,378
  6. Step 6: Final answer
    x = 314,204.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.