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Finding the Third Proportional to 35,060.50 and 77,132.50

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Solution

The third proportional to 35,060.50 and 77,132.50 is: 169,690.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,060.50 : 77,132.50 = 77,132.50 : x
  2. Step 2: Convert to fraction form
    35,060.50/77,132.50 = 77,132.50/x
  3. Step 3: Cross multiply
    35,060.50x = 77,132.50 × 77,132.50
  4. Step 4: Simplify right side
    35,060.50x = 5,949,422,556.25
  5. Step 5: Solve for x
    x = 5,949,422,556.25/35,060.50
  6. Step 6: Final answer
    x = 169,690.18

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.