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Finding the Third Proportional to 51,796 and 77,664

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Solution

The third proportional to 51,796 and 77,664 is: 116,451.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,796 : 77,664 = 77,664 : x
  2. Step 2: Convert to fraction form
    51,796/77,664 = 77,664/x
  3. Step 3: Cross multiply
    51,796x = 77,664 × 77,664
  4. Step 4: Simplify right side
    51,796x = 6,031,696,896
  5. Step 5: Solve for x
    x = 6,031,696,896/51,796
  6. Step 6: Final answer
    x = 116,451.02

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Why These Related Problems?

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