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Finding the Third Proportional to 57,922 and 86,373

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Solution

The third proportional to 57,922 and 86,373 is: 128,798.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,922 : 86,373 = 86,373 : x
  2. Step 2: Convert to fraction form
    57,922/86,373 = 86,373/x
  3. Step 3: Cross multiply
    57,922x = 86,373 × 86,373
  4. Step 4: Simplify right side
    57,922x = 7,460,295,129
  5. Step 5: Solve for x
    x = 7,460,295,129/57,922
  6. Step 6: Final answer
    x = 128,798.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.