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Finding the Third Proportional to 66,673.13 and 145,344.38

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Solution

The third proportional to 66,673.13 and 145,344.38 is: 316,844.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,673.13 : 145,344.38 = 145,344.38 : x
  2. Step 2: Convert to fraction form
    66,673.13/145,344.38 = 145,344.38/x
  3. Step 3: Cross multiply
    66,673.13x = 145,344.38 × 145,344.38
  4. Step 4: Simplify right side
    66,673.13x = 21,124,987,344.14
  5. Step 5: Solve for x
    x = 21,124,987,344.14/66,673.13
  6. Step 6: Final answer
    x = 316,844.12

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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.