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Finding the Third Proportional to 63,824 and 91,360

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Solution

The third proportional to 63,824 and 91,360 is: 130,776.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,824 : 91,360 = 91,360 : x
  2. Step 2: Convert to fraction form
    63,824/91,360 = 91,360/x
  3. Step 3: Cross multiply
    63,824x = 91,360 × 91,360
  4. Step 4: Simplify right side
    63,824x = 8,346,649,600
  5. Step 5: Solve for x
    x = 8,346,649,600/63,824
  6. Step 6: Final answer
    x = 130,776.03

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.