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Finding the Third Proportional to 86,997 and 131,710.50

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Solution

The third proportional to 86,997 and 131,710.50 is: 199,405.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,997 : 131,710.50 = 131,710.50 : x
  2. Step 2: Convert to fraction form
    86,997/131,710.50 = 131,710.50/x
  3. Step 3: Cross multiply
    86,997x = 131,710.50 × 131,710.50
  4. Step 4: Simplify right side
    86,997x = 17,347,655,810.25
  5. Step 5: Solve for x
    x = 17,347,655,810.25/86,997
  6. Step 6: Final answer
    x = 199,405.22

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.