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Finding the Third Proportional to 58,040 and 92,028

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Solution

The third proportional to 58,040 and 92,028 is: 145,919.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,040 : 92,028 = 92,028 : x
  2. Step 2: Convert to fraction form
    58,040/92,028 = 92,028/x
  3. Step 3: Cross multiply
    58,040x = 92,028 × 92,028
  4. Step 4: Simplify right side
    58,040x = 8,469,152,784
  5. Step 5: Solve for x
    x = 8,469,152,784/58,040
  6. Step 6: Final answer
    x = 145,919.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.