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Finding the Third Proportional to 68,158 and 97,563

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Solution

The third proportional to 68,158 and 97,563 is: 139,654.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,158 : 97,563 = 97,563 : x
  2. Step 2: Convert to fraction form
    68,158/97,563 = 97,563/x
  3. Step 3: Cross multiply
    68,158x = 97,563 × 97,563
  4. Step 4: Simplify right side
    68,158x = 9,518,538,969
  5. Step 5: Solve for x
    x = 9,518,538,969/68,158
  6. Step 6: Final answer
    x = 139,654.02

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.