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Finding the Third Proportional to 61,249 and 93,695

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Solution

The third proportional to 61,249 and 93,695 is: 143,328.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,249 : 93,695 = 93,695 : x
  2. Step 2: Convert to fraction form
    61,249/93,695 = 93,695/x
  3. Step 3: Cross multiply
    61,249x = 93,695 × 93,695
  4. Step 4: Simplify right side
    61,249x = 8,778,753,025
  5. Step 5: Solve for x
    x = 8,778,753,025/61,249
  6. Step 6: Final answer
    x = 143,328.92

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