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Finding the Third Proportional to 66,078 and 144,648

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Solution

The third proportional to 66,078 and 144,648 is: 316,641.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,078 : 144,648 = 144,648 : x
  2. Step 2: Convert to fraction form
    66,078/144,648 = 144,648/x
  3. Step 3: Cross multiply
    66,078x = 144,648 × 144,648
  4. Step 4: Simplify right side
    66,078x = 20,923,043,904
  5. Step 5: Solve for x
    x = 20,923,043,904/66,078
  6. Step 6: Final answer
    x = 316,641.60

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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.