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Finding the Third Proportional to 65,349 and 101,371.50

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Solution

The third proportional to 65,349 and 101,371.50 is: 157,250.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,349 : 101,371.50 = 101,371.50 : x
  2. Step 2: Convert to fraction form
    65,349/101,371.50 = 101,371.50/x
  3. Step 3: Cross multiply
    65,349x = 101,371.50 × 101,371.50
  4. Step 4: Simplify right side
    65,349x = 10,276,181,012.25
  5. Step 5: Solve for x
    x = 10,276,181,012.25/65,349
  6. Step 6: Final answer
    x = 157,250.78

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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.