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Finding the Third Proportional to 94,339 and 139,348.50

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Solution

The third proportional to 94,339 and 139,348.50 is: 205,832.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,339 : 139,348.50 = 139,348.50 : x
  2. Step 2: Convert to fraction form
    94,339/139,348.50 = 139,348.50/x
  3. Step 3: Cross multiply
    94,339x = 139,348.50 × 139,348.50
  4. Step 4: Simplify right side
    94,339x = 19,418,004,452.25
  5. Step 5: Solve for x
    x = 19,418,004,452.25/94,339
  6. Step 6: Final answer
    x = 205,832.21

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.