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Finding the Third Proportional to 59,278 and 83,373

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Solution

The third proportional to 59,278 and 83,373 is: 117,262.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,278 : 83,373 = 83,373 : x
  2. Step 2: Convert to fraction form
    59,278/83,373 = 83,373/x
  3. Step 3: Cross multiply
    59,278x = 83,373 × 83,373
  4. Step 4: Simplify right side
    59,278x = 6,951,057,129
  5. Step 5: Solve for x
    x = 6,951,057,129/59,278
  6. Step 6: Final answer
    x = 117,262.00

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.