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Finding the Third Proportional to 53,022 and 77,942

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Solution

The third proportional to 53,022 and 77,942 is: 114,574.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,022 : 77,942 = 77,942 : x
  2. Step 2: Convert to fraction form
    53,022/77,942 = 77,942/x
  3. Step 3: Cross multiply
    53,022x = 77,942 × 77,942
  4. Step 4: Simplify right side
    53,022x = 6,074,955,364
  5. Step 5: Solve for x
    x = 6,074,955,364/53,022
  6. Step 6: Final answer
    x = 114,574.24

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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.