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Finding the Third Proportional to 65,848 and 101,988

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Solution

The third proportional to 65,848 and 101,988 is: 157,963.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,848 : 101,988 = 101,988 : x
  2. Step 2: Convert to fraction form
    65,848/101,988 = 101,988/x
  3. Step 3: Cross multiply
    65,848x = 101,988 × 101,988
  4. Step 4: Simplify right side
    65,848x = 10,401,552,144
  5. Step 5: Solve for x
    x = 10,401,552,144/65,848
  6. Step 6: Final answer
    x = 157,963.07

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.