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Finding the Third Proportional to 68,756.63 and 141,795

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Solution

The third proportional to 68,756.63 and 141,795 is: 292,420.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,756.63 : 141,795 = 141,795 : x
  2. Step 2: Convert to fraction form
    68,756.63/141,795 = 141,795/x
  3. Step 3: Cross multiply
    68,756.63x = 141,795 × 141,795
  4. Step 4: Simplify right side
    68,756.63x = 20,105,822,025
  5. Step 5: Solve for x
    x = 20,105,822,025/68,756.63
  6. Step 6: Final answer
    x = 292,420.14

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.