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Finding the Third Proportional to 68,893.13 and 97,510.31

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Solution

The third proportional to 68,893.13 and 97,510.31 is: 138,014.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,893.13 : 97,510.31 = 97,510.31 : x
  2. Step 2: Convert to fraction form
    68,893.13/97,510.31 = 97,510.31/x
  3. Step 3: Cross multiply
    68,893.13x = 97,510.31 × 97,510.31
  4. Step 4: Simplify right side
    68,893.13x = 9,508,261,043.85
  5. Step 5: Solve for x
    x = 9,508,261,043.85/68,893.13
  6. Step 6: Final answer
    x = 138,014.66

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.