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Finding the Third Proportional to 65,837.25 and 128,389.50

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Solution

The third proportional to 65,837.25 and 128,389.50 is: 250,372.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,837.25 : 128,389.50 = 128,389.50 : x
  2. Step 2: Convert to fraction form
    65,837.25/128,389.50 = 128,389.50/x
  3. Step 3: Cross multiply
    65,837.25x = 128,389.50 × 128,389.50
  4. Step 4: Simplify right side
    65,837.25x = 16,483,863,710.25
  5. Step 5: Solve for x
    x = 16,483,863,710.25/65,837.25
  6. Step 6: Final answer
    x = 250,372.91

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.