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Finding the Third Proportional to 60,294 and 139,695

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Solution

The third proportional to 60,294 and 139,695 is: 323,658.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,294 : 139,695 = 139,695 : x
  2. Step 2: Convert to fraction form
    60,294/139,695 = 139,695/x
  3. Step 3: Cross multiply
    60,294x = 139,695 × 139,695
  4. Step 4: Simplify right side
    60,294x = 19,514,693,025
  5. Step 5: Solve for x
    x = 19,514,693,025/60,294
  6. Step 6: Final answer
    x = 323,658.95

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.