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Finding the Third Proportional to 53,790 and 83,562

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Solution

The third proportional to 53,790 and 83,562 is: 129,812.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,790 : 83,562 = 83,562 : x
  2. Step 2: Convert to fraction form
    53,790/83,562 = 83,562/x
  3. Step 3: Cross multiply
    53,790x = 83,562 × 83,562
  4. Step 4: Simplify right side
    53,790x = 6,982,607,844
  5. Step 5: Solve for x
    x = 6,982,607,844/53,790
  6. Step 6: Final answer
    x = 129,812.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.