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Finding the Third Proportional to 106,702 and 152,487

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Solution

The third proportional to 106,702 and 152,487 is: 217,917.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,702 : 152,487 = 152,487 : x
  2. Step 2: Convert to fraction form
    106,702/152,487 = 152,487/x
  3. Step 3: Cross multiply
    106,702x = 152,487 × 152,487
  4. Step 4: Simplify right side
    106,702x = 23,252,285,169
  5. Step 5: Solve for x
    x = 23,252,285,169/106,702
  6. Step 6: Final answer
    x = 217,917.99

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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.