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Finding the Third Proportional to 58,928 and 90,128

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Solution

The third proportional to 58,928 and 90,128 is: 137,847.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,928 : 90,128 = 90,128 : x
  2. Step 2: Convert to fraction form
    58,928/90,128 = 90,128/x
  3. Step 3: Cross multiply
    58,928x = 90,128 × 90,128
  4. Step 4: Simplify right side
    58,928x = 8,123,056,384
  5. Step 5: Solve for x
    x = 8,123,056,384/58,928
  6. Step 6: Final answer
    x = 137,847.14

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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.