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Finding the Third Proportional to 68,810.34 and 106,347.09

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Solution

The third proportional to 68,810.34 and 106,347.09 is: 164,360.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,810.34 : 106,347.09 = 106,347.09 : x
  2. Step 2: Convert to fraction form
    68,810.34/106,347.09 = 106,347.09/x
  3. Step 3: Cross multiply
    68,810.34x = 106,347.09 × 106,347.09
  4. Step 4: Simplify right side
    68,810.34x = 11,309,704,349.07
  5. Step 5: Solve for x
    x = 11,309,704,349.07/68,810.34
  6. Step 6: Final answer
    x = 164,360.53

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.