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Finding the Third Proportional to 92,768 and 139,576

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Solution

The third proportional to 92,768 and 139,576 is: 210,001.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,768 : 139,576 = 139,576 : x
  2. Step 2: Convert to fraction form
    92,768/139,576 = 139,576/x
  3. Step 3: Cross multiply
    92,768x = 139,576 × 139,576
  4. Step 4: Simplify right side
    92,768x = 19,481,459,776
  5. Step 5: Solve for x
    x = 19,481,459,776/92,768
  6. Step 6: Final answer
    x = 210,001.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.