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Finding the Third Proportional to 52,965 and 77,824

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Solution

The third proportional to 52,965 and 77,824 is: 114,350.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,965 : 77,824 = 77,824 : x
  2. Step 2: Convert to fraction form
    52,965/77,824 = 77,824/x
  3. Step 3: Cross multiply
    52,965x = 77,824 × 77,824
  4. Step 4: Simplify right side
    52,965x = 6,056,574,976
  5. Step 5: Solve for x
    x = 6,056,574,976/52,965
  6. Step 6: Final answer
    x = 114,350.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.