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Finding the Third Proportional to 65,422.50 and 103,762

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Solution

The third proportional to 65,422.50 and 103,762 is: 164,569.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,422.50 : 103,762 = 103,762 : x
  2. Step 2: Convert to fraction form
    65,422.50/103,762 = 103,762/x
  3. Step 3: Cross multiply
    65,422.50x = 103,762 × 103,762
  4. Step 4: Simplify right side
    65,422.50x = 10,766,552,644
  5. Step 5: Solve for x
    x = 10,766,552,644/65,422.50
  6. Step 6: Final answer
    x = 164,569.57

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.