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Finding the Third Proportional to 106,410 and 157,551

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Solution

The third proportional to 106,410 and 157,551 is: 233,270.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,410 : 157,551 = 157,551 : x
  2. Step 2: Convert to fraction form
    106,410/157,551 = 157,551/x
  3. Step 3: Cross multiply
    106,410x = 157,551 × 157,551
  4. Step 4: Simplify right side
    106,410x = 24,822,317,601
  5. Step 5: Solve for x
    x = 24,822,317,601/106,410
  6. Step 6: Final answer
    x = 233,270.53

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.