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Finding the Third Proportional to 52,967 and 77,827

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Solution

The third proportional to 52,967 and 77,827 is: 114,355.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,967 : 77,827 = 77,827 : x
  2. Step 2: Convert to fraction form
    52,967/77,827 = 77,827/x
  3. Step 3: Cross multiply
    52,967x = 77,827 × 77,827
  4. Step 4: Simplify right side
    52,967x = 6,057,041,929
  5. Step 5: Solve for x
    x = 6,057,041,929/52,967
  6. Step 6: Final answer
    x = 114,355.01

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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.