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Finding the Third Proportional to 59,346 and 91,206

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Solution

The third proportional to 59,346 and 91,206 is: 140,170.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,346 : 91,206 = 91,206 : x
  2. Step 2: Convert to fraction form
    59,346/91,206 = 91,206/x
  3. Step 3: Cross multiply
    59,346x = 91,206 × 91,206
  4. Step 4: Simplify right side
    59,346x = 8,318,534,436
  5. Step 5: Solve for x
    x = 8,318,534,436/59,346
  6. Step 6: Final answer
    x = 140,170.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.