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Finding the Third Proportional to 105,750 and 155,763

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Solution

The third proportional to 105,750 and 155,763 is: 229,428.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,750 : 155,763 = 155,763 : x
  2. Step 2: Convert to fraction form
    105,750/155,763 = 155,763/x
  3. Step 3: Cross multiply
    105,750x = 155,763 × 155,763
  4. Step 4: Simplify right side
    105,750x = 24,262,112,169
  5. Step 5: Solve for x
    x = 24,262,112,169/105,750
  6. Step 6: Final answer
    x = 229,428.96

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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.