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Finding the Third Proportional to 67,623.75 and 144,627.75

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Solution

The third proportional to 67,623.75 and 144,627.75 is: 309,317.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,623.75 : 144,627.75 = 144,627.75 : x
  2. Step 2: Convert to fraction form
    67,623.75/144,627.75 = 144,627.75/x
  3. Step 3: Cross multiply
    67,623.75x = 144,627.75 × 144,627.75
  4. Step 4: Simplify right side
    67,623.75x = 20,917,186,070.06
  5. Step 5: Solve for x
    x = 20,917,186,070.06/67,623.75
  6. Step 6: Final answer
    x = 309,317.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.