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Finding the Third Proportional to 61,430 and 92,379

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Solution

The third proportional to 61,430 and 92,379 is: 138,920.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,430 : 92,379 = 92,379 : x
  2. Step 2: Convert to fraction form
    61,430/92,379 = 92,379/x
  3. Step 3: Cross multiply
    61,430x = 92,379 × 92,379
  4. Step 4: Simplify right side
    61,430x = 8,533,879,641
  5. Step 5: Solve for x
    x = 8,533,879,641/61,430
  6. Step 6: Final answer
    x = 138,920.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.