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Finding the Third Proportional to 58,276 and 89,110

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Solution

The third proportional to 58,276 and 89,110 is: 136,258.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,276 : 89,110 = 89,110 : x
  2. Step 2: Convert to fraction form
    58,276/89,110 = 89,110/x
  3. Step 3: Cross multiply
    58,276x = 89,110 × 89,110
  4. Step 4: Simplify right side
    58,276x = 7,940,592,100
  5. Step 5: Solve for x
    x = 7,940,592,100/58,276
  6. Step 6: Final answer
    x = 136,258.36

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.