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Finding the Third Proportional to 59,533 and 92,258

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Solution

The third proportional to 59,533 and 92,258 is: 142,971.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,533 : 92,258 = 92,258 : x
  2. Step 2: Convert to fraction form
    59,533/92,258 = 92,258/x
  3. Step 3: Cross multiply
    59,533x = 92,258 × 92,258
  4. Step 4: Simplify right side
    59,533x = 8,511,538,564
  5. Step 5: Solve for x
    x = 8,511,538,564/59,533
  6. Step 6: Final answer
    x = 142,971.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.