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Finding the Third Proportional to 29,128 and 61,028

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Solution

The third proportional to 29,128 and 61,028 is: 127,863.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,128 : 61,028 = 61,028 : x
  2. Step 2: Convert to fraction form
    29,128/61,028 = 61,028/x
  3. Step 3: Cross multiply
    29,128x = 61,028 × 61,028
  4. Step 4: Simplify right side
    29,128x = 3,724,416,784
  5. Step 5: Solve for x
    x = 3,724,416,784/29,128
  6. Step 6: Final answer
    x = 127,863.80

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.