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Finding the Third Proportional to 65,443.50 and 103,797

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Solution

The third proportional to 65,443.50 and 103,797 is: 164,627.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,443.50 : 103,797 = 103,797 : x
  2. Step 2: Convert to fraction form
    65,443.50/103,797 = 103,797/x
  3. Step 3: Cross multiply
    65,443.50x = 103,797 × 103,797
  4. Step 4: Simplify right side
    65,443.50x = 10,773,817,209
  5. Step 5: Solve for x
    x = 10,773,817,209/65,443.50
  6. Step 6: Final answer
    x = 164,627.77

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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.