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Finding the Third Proportional to 106,124 and 232,660

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Solution

The third proportional to 106,124 and 232,660 is: 510,070.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,124 : 232,660 = 232,660 : x
  2. Step 2: Convert to fraction form
    106,124/232,660 = 232,660/x
  3. Step 3: Cross multiply
    106,124x = 232,660 × 232,660
  4. Step 4: Simplify right side
    106,124x = 54,130,675,600
  5. Step 5: Solve for x
    x = 54,130,675,600/106,124
  6. Step 6: Final answer
    x = 510,070.07

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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.