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Finding the Third Proportional to 105,805 and 143,534

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Solution

The third proportional to 105,805 and 143,534 is: 194,716.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,805 : 143,534 = 143,534 : x
  2. Step 2: Convert to fraction form
    105,805/143,534 = 143,534/x
  3. Step 3: Cross multiply
    105,805x = 143,534 × 143,534
  4. Step 4: Simplify right side
    105,805x = 20,602,009,156
  5. Step 5: Solve for x
    x = 20,602,009,156/105,805
  6. Step 6: Final answer
    x = 194,716.78

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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.