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Finding the Third Proportional to 58,328 and 90,488

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Solution

The third proportional to 58,328 and 90,488 is: 140,379.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,328 : 90,488 = 90,488 : x
  2. Step 2: Convert to fraction form
    58,328/90,488 = 90,488/x
  3. Step 3: Cross multiply
    58,328x = 90,488 × 90,488
  4. Step 4: Simplify right side
    58,328x = 8,188,078,144
  5. Step 5: Solve for x
    x = 8,188,078,144/58,328
  6. Step 6: Final answer
    x = 140,379.89

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.