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Finding the Third Proportional to 66,485 and 144,047

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Solution

The third proportional to 66,485 and 144,047 is: 312,093.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,485 : 144,047 = 144,047 : x
  2. Step 2: Convert to fraction form
    66,485/144,047 = 144,047/x
  3. Step 3: Cross multiply
    66,485x = 144,047 × 144,047
  4. Step 4: Simplify right side
    66,485x = 20,749,538,209
  5. Step 5: Solve for x
    x = 20,749,538,209/66,485
  6. Step 6: Final answer
    x = 312,093.53

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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.