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Finding the Third Proportional to 68,167 and 97,577

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Solution

The third proportional to 68,167 and 97,577 is: 139,675.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,167 : 97,577 = 97,577 : x
  2. Step 2: Convert to fraction form
    68,167/97,577 = 97,577/x
  3. Step 3: Cross multiply
    68,167x = 97,577 × 97,577
  4. Step 4: Simplify right side
    68,167x = 9,521,270,929
  5. Step 5: Solve for x
    x = 9,521,270,929/68,167
  6. Step 6: Final answer
    x = 139,675.66

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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.