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Finding the Third Proportional to 61,454 and 92,613

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Solution

The third proportional to 61,454 and 92,613 is: 139,570.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,454 : 92,613 = 92,613 : x
  2. Step 2: Convert to fraction form
    61,454/92,613 = 92,613/x
  3. Step 3: Cross multiply
    61,454x = 92,613 × 92,613
  4. Step 4: Simplify right side
    61,454x = 8,577,167,769
  5. Step 5: Solve for x
    x = 8,577,167,769/61,454
  6. Step 6: Final answer
    x = 139,570.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.