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Finding the Third Proportional to 68,335.31 and 143,580.94

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Solution

The third proportional to 68,335.31 and 143,580.94 is: 301,681.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,335.31 : 143,580.94 = 143,580.94 : x
  2. Step 2: Convert to fraction form
    68,335.31/143,580.94 = 143,580.94/x
  3. Step 3: Cross multiply
    68,335.31x = 143,580.94 × 143,580.94
  4. Step 4: Simplify right side
    68,335.31x = 20,615,485,613.38
  5. Step 5: Solve for x
    x = 20,615,485,613.38/68,335.31
  6. Step 6: Final answer
    x = 301,681.30

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.