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Finding the Third Proportional to 68,167.13 and 142,598.25

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Solution

The third proportional to 68,167.13 and 142,598.25 is: 298,300.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,167.13 : 142,598.25 = 142,598.25 : x
  2. Step 2: Convert to fraction form
    68,167.13/142,598.25 = 142,598.25/x
  3. Step 3: Cross multiply
    68,167.13x = 142,598.25 × 142,598.25
  4. Step 4: Simplify right side
    68,167.13x = 20,334,260,903.06
  5. Step 5: Solve for x
    x = 20,334,260,903.06/68,167.13
  6. Step 6: Final answer
    x = 298,300.11

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.