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Finding the Third Proportional to 106,658 and 152,423

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Solution

The third proportional to 106,658 and 152,423 is: 217,824.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,658 : 152,423 = 152,423 : x
  2. Step 2: Convert to fraction form
    106,658/152,423 = 152,423/x
  3. Step 3: Cross multiply
    106,658x = 152,423 × 152,423
  4. Step 4: Simplify right side
    106,658x = 23,232,770,929
  5. Step 5: Solve for x
    x = 23,232,770,929/106,658
  6. Step 6: Final answer
    x = 217,824.93

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.