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Finding the Third Proportional to 77,664 and 116,376

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Solution

The third proportional to 77,664 and 116,376 is: 174,384.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,664 : 116,376 = 116,376 : x
  2. Step 2: Convert to fraction form
    77,664/116,376 = 116,376/x
  3. Step 3: Cross multiply
    77,664x = 116,376 × 116,376
  4. Step 4: Simplify right side
    77,664x = 13,543,373,376
  5. Step 5: Solve for x
    x = 13,543,373,376/77,664
  6. Step 6: Final answer
    x = 174,384.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.