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Finding the Third Proportional to 112,128 and 132,608

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Solution

The third proportional to 112,128 and 132,608 is: 156,828.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,128 : 132,608 = 132,608 : x
  2. Step 2: Convert to fraction form
    112,128/132,608 = 132,608/x
  3. Step 3: Cross multiply
    112,128x = 132,608 × 132,608
  4. Step 4: Simplify right side
    112,128x = 17,584,881,664
  5. Step 5: Solve for x
    x = 17,584,881,664/112,128
  6. Step 6: Final answer
    x = 156,828.64

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.