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Finding the Third Proportional to 66,646.50 and 144,591

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Solution

The third proportional to 66,646.50 and 144,591 is: 313,693.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,646.50 : 144,591 = 144,591 : x
  2. Step 2: Convert to fraction form
    66,646.50/144,591 = 144,591/x
  3. Step 3: Cross multiply
    66,646.50x = 144,591 × 144,591
  4. Step 4: Simplify right side
    66,646.50x = 20,906,557,281
  5. Step 5: Solve for x
    x = 20,906,557,281/66,646.50
  6. Step 6: Final answer
    x = 313,693.25

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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.