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Finding the Third Proportional to 106,126 and 232,664

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Solution

The third proportional to 106,126 and 232,664 is: 510,077.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,126 : 232,664 = 232,664 : x
  2. Step 2: Convert to fraction form
    106,126/232,664 = 232,664/x
  3. Step 3: Cross multiply
    106,126x = 232,664 × 232,664
  4. Step 4: Simplify right side
    106,126x = 54,132,536,896
  5. Step 5: Solve for x
    x = 54,132,536,896/106,126
  6. Step 6: Final answer
    x = 510,077.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.