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Finding the Third Proportional to 53,498 and 83,208

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Solution

The third proportional to 53,498 and 83,208 is: 129,417.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,498 : 83,208 = 83,208 : x
  2. Step 2: Convert to fraction form
    53,498/83,208 = 83,208/x
  3. Step 3: Cross multiply
    53,498x = 83,208 × 83,208
  4. Step 4: Simplify right side
    53,498x = 6,923,571,264
  5. Step 5: Solve for x
    x = 6,923,571,264/53,498
  6. Step 6: Final answer
    x = 129,417.39

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.