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Finding the Third Proportional to 34,752 and 76,065

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Solution

The third proportional to 34,752 and 76,065 is: 166,490.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,752 : 76,065 = 76,065 : x
  2. Step 2: Convert to fraction form
    34,752/76,065 = 76,065/x
  3. Step 3: Cross multiply
    34,752x = 76,065 × 76,065
  4. Step 4: Simplify right side
    34,752x = 5,785,884,225
  5. Step 5: Solve for x
    x = 5,785,884,225/34,752
  6. Step 6: Final answer
    x = 166,490.68

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.