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Finding the Third Proportional to 66,013.88 and 144,124.31

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Solution

The third proportional to 66,013.88 and 144,124.31 is: 314,658.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,013.88 : 144,124.31 = 144,124.31 : x
  2. Step 2: Convert to fraction form
    66,013.88/144,124.31 = 144,124.31/x
  3. Step 3: Cross multiply
    66,013.88x = 144,124.31 × 144,124.31
  4. Step 4: Simplify right side
    66,013.88x = 20,771,817,453.60
  5. Step 5: Solve for x
    x = 20,771,817,453.60/66,013.88
  6. Step 6: Final answer
    x = 314,658.36

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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.