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Finding the Third Proportional to 65,580 and 143,472

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Solution

The third proportional to 65,580 and 143,472 is: 313,879.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,580 : 143,472 = 143,472 : x
  2. Step 2: Convert to fraction form
    65,580/143,472 = 143,472/x
  3. Step 3: Cross multiply
    65,580x = 143,472 × 143,472
  4. Step 4: Simplify right side
    65,580x = 20,584,214,784
  5. Step 5: Solve for x
    x = 20,584,214,784/65,580
  6. Step 6: Final answer
    x = 313,879.46

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.