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Finding the Third Proportional to 67,752 and 105,504

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Solution

The third proportional to 67,752 and 105,504 is: 164,291.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,752 : 105,504 = 105,504 : x
  2. Step 2: Convert to fraction form
    67,752/105,504 = 105,504/x
  3. Step 3: Cross multiply
    67,752x = 105,504 × 105,504
  4. Step 4: Simplify right side
    67,752x = 11,131,094,016
  5. Step 5: Solve for x
    x = 11,131,094,016/67,752
  6. Step 6: Final answer
    x = 164,291.74

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.