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Finding the Third Proportional to 105,732 and 155,677

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Solution

The third proportional to 105,732 and 155,677 is: 229,214.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,732 : 155,677 = 155,677 : x
  2. Step 2: Convert to fraction form
    105,732/155,677 = 155,677/x
  3. Step 3: Cross multiply
    105,732x = 155,677 × 155,677
  4. Step 4: Simplify right side
    105,732x = 24,235,328,329
  5. Step 5: Solve for x
    x = 24,235,328,329/105,732
  6. Step 6: Final answer
    x = 229,214.70

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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.