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Finding the Third Proportional to 66,001.50 and 144,669.38

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Solution

The third proportional to 66,001.50 and 144,669.38 is: 317,102.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,001.50 : 144,669.38 = 144,669.38 : x
  2. Step 2: Convert to fraction form
    66,001.50/144,669.38 = 144,669.38/x
  3. Step 3: Cross multiply
    66,001.50x = 144,669.38 × 144,669.38
  4. Step 4: Simplify right side
    66,001.50x = 20,929,228,062.89
  5. Step 5: Solve for x
    x = 20,929,228,062.89/66,001.50
  6. Step 6: Final answer
    x = 317,102.31

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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.