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Finding the Third Proportional to 58,840 and 90,028

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Solution

The third proportional to 58,840 and 90,028 is: 137,747.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,840 : 90,028 = 90,028 : x
  2. Step 2: Convert to fraction form
    58,840/90,028 = 90,028/x
  3. Step 3: Cross multiply
    58,840x = 90,028 × 90,028
  4. Step 4: Simplify right side
    58,840x = 8,105,040,784
  5. Step 5: Solve for x
    x = 8,105,040,784/58,840
  6. Step 6: Final answer
    x = 137,747.12

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Why These Related Problems?

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