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Finding the Third Proportional to 65,580.50 and 144,496

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Solution

The third proportional to 65,580.50 and 144,496 is: 318,373.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,580.50 : 144,496 = 144,496 : x
  2. Step 2: Convert to fraction form
    65,580.50/144,496 = 144,496/x
  3. Step 3: Cross multiply
    65,580.50x = 144,496 × 144,496
  4. Step 4: Simplify right side
    65,580.50x = 20,879,094,016
  5. Step 5: Solve for x
    x = 20,879,094,016/65,580.50
  6. Step 6: Final answer
    x = 318,373.51

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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.