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Finding the Third Proportional to 68,266.13 and 101,871

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Solution

The third proportional to 68,266.13 and 101,871 is: 152,018.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,266.13 : 101,871 = 101,871 : x
  2. Step 2: Convert to fraction form
    68,266.13/101,871 = 101,871/x
  3. Step 3: Cross multiply
    68,266.13x = 101,871 × 101,871
  4. Step 4: Simplify right side
    68,266.13x = 10,377,700,641
  5. Step 5: Solve for x
    x = 10,377,700,641/68,266.13
  6. Step 6: Final answer
    x = 152,018.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.