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Finding the Third Proportional to 105,764 and 155,716

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Solution

The third proportional to 105,764 and 155,716 is: 229,260.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,764 : 155,716 = 155,716 : x
  2. Step 2: Convert to fraction form
    105,764/155,716 = 155,716/x
  3. Step 3: Cross multiply
    105,764x = 155,716 × 155,716
  4. Step 4: Simplify right side
    105,764x = 24,247,472,656
  5. Step 5: Solve for x
    x = 24,247,472,656/105,764
  6. Step 6: Final answer
    x = 229,260.17

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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.