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Finding the Third Proportional to 66,514.50 and 144,693

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Solution

The third proportional to 66,514.50 and 144,693 is: 314,759.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,514.50 : 144,693 = 144,693 : x
  2. Step 2: Convert to fraction form
    66,514.50/144,693 = 144,693/x
  3. Step 3: Cross multiply
    66,514.50x = 144,693 × 144,693
  4. Step 4: Simplify right side
    66,514.50x = 20,936,064,249
  5. Step 5: Solve for x
    x = 20,936,064,249/66,514.50
  6. Step 6: Final answer
    x = 314,759.40

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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.