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Finding the Third Proportional to 42,258 and 89,904

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Solution

The third proportional to 42,258 and 89,904 is: 191,270.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,258 : 89,904 = 89,904 : x
  2. Step 2: Convert to fraction form
    42,258/89,904 = 89,904/x
  3. Step 3: Cross multiply
    42,258x = 89,904 × 89,904
  4. Step 4: Simplify right side
    42,258x = 8,082,729,216
  5. Step 5: Solve for x
    x = 8,082,729,216/42,258
  6. Step 6: Final answer
    x = 191,270.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.