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Finding the Third Proportional to 66,673.13 and 144,412.88

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Solution

The third proportional to 66,673.13 and 144,412.88 is: 312,795.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,673.13 : 144,412.88 = 144,412.88 : x
  2. Step 2: Convert to fraction form
    66,673.13/144,412.88 = 144,412.88/x
  3. Step 3: Cross multiply
    66,673.13x = 144,412.88 × 144,412.88
  4. Step 4: Simplify right side
    66,673.13x = 20,855,078,465.77
  5. Step 5: Solve for x
    x = 20,855,078,465.77/66,673.13
  6. Step 6: Final answer
    x = 312,795.87

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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.