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Finding the Third Proportional to 105,816 and 143,550

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Solution

The third proportional to 105,816 and 143,550 is: 194,739.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,816 : 143,550 = 143,550 : x
  2. Step 2: Convert to fraction form
    105,816/143,550 = 143,550/x
  3. Step 3: Cross multiply
    105,816x = 143,550 × 143,550
  4. Step 4: Simplify right side
    105,816x = 20,606,602,500
  5. Step 5: Solve for x
    x = 20,606,602,500/105,816
  6. Step 6: Final answer
    x = 194,739.95

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.