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Finding the Third Proportional to 52,362 and 77,805

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Solution

The third proportional to 52,362 and 77,805 is: 115,610.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,362 : 77,805 = 77,805 : x
  2. Step 2: Convert to fraction form
    52,362/77,805 = 77,805/x
  3. Step 3: Cross multiply
    52,362x = 77,805 × 77,805
  4. Step 4: Simplify right side
    52,362x = 6,053,618,025
  5. Step 5: Solve for x
    x = 6,053,618,025/52,362
  6. Step 6: Final answer
    x = 115,610.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.