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Finding the Third Proportional to 83,116 and 124,660

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Solution

The third proportional to 83,116 and 124,660 is: 186,969.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,116 : 124,660 = 124,660 : x
  2. Step 2: Convert to fraction form
    83,116/124,660 = 124,660/x
  3. Step 3: Cross multiply
    83,116x = 124,660 × 124,660
  4. Step 4: Simplify right side
    83,116x = 15,540,115,600
  5. Step 5: Solve for x
    x = 15,540,115,600/83,116
  6. Step 6: Final answer
    x = 186,969.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.