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Finding the Third Proportional to 68,658.38 and 97,994.25

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Solution

The third proportional to 68,658.38 and 97,994.25 is: 139,864.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,658.38 : 97,994.25 = 97,994.25 : x
  2. Step 2: Convert to fraction form
    68,658.38/97,994.25 = 97,994.25/x
  3. Step 3: Cross multiply
    68,658.38x = 97,994.25 × 97,994.25
  4. Step 4: Simplify right side
    68,658.38x = 9,602,873,033.06
  5. Step 5: Solve for x
    x = 9,602,873,033.06/68,658.38
  6. Step 6: Final answer
    x = 139,864.55

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