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Finding the Third Proportional to 59,417 and 92,771

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Solution

The third proportional to 59,417 and 92,771 is: 144,848.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,417 : 92,771 = 92,771 : x
  2. Step 2: Convert to fraction form
    59,417/92,771 = 92,771/x
  3. Step 3: Cross multiply
    59,417x = 92,771 × 92,771
  4. Step 4: Simplify right side
    59,417x = 8,606,458,441
  5. Step 5: Solve for x
    x = 8,606,458,441/59,417
  6. Step 6: Final answer
    x = 144,848.42

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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.