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Finding the Third Proportional to 34,752 and 67,776

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Solution

The third proportional to 34,752 and 67,776 is: 132,181.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,752 : 67,776 = 67,776 : x
  2. Step 2: Convert to fraction form
    34,752/67,776 = 67,776/x
  3. Step 3: Cross multiply
    34,752x = 67,776 × 67,776
  4. Step 4: Simplify right side
    34,752x = 4,593,586,176
  5. Step 5: Solve for x
    x = 4,593,586,176/34,752
  6. Step 6: Final answer
    x = 132,181.92

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.