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Finding the Third Proportional to 68,562 and 145,854

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Solution

The third proportional to 68,562 and 145,854 is: 310,279.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,562 : 145,854 = 145,854 : x
  2. Step 2: Convert to fraction form
    68,562/145,854 = 145,854/x
  3. Step 3: Cross multiply
    68,562x = 145,854 × 145,854
  4. Step 4: Simplify right side
    68,562x = 21,273,389,316
  5. Step 5: Solve for x
    x = 21,273,389,316/68,562
  6. Step 6: Final answer
    x = 310,279.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.