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Finding the Third Proportional to 68,466.09 and 105,301.69

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Solution

The third proportional to 68,466.09 and 105,301.69 is: 161,955.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,466.09 : 105,301.69 = 105,301.69 : x
  2. Step 2: Convert to fraction form
    68,466.09/105,301.69 = 105,301.69/x
  3. Step 3: Cross multiply
    68,466.09x = 105,301.69 × 105,301.69
  4. Step 4: Simplify right side
    68,466.09x = 11,088,445,390.35
  5. Step 5: Solve for x
    x = 11,088,445,390.35/68,466.09
  6. Step 6: Final answer
    x = 161,955.28

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.