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Finding the Third Proportional to 89,715 and 139,308

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Solution

The third proportional to 89,715 and 139,308 is: 216,315.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,715 : 139,308 = 139,308 : x
  2. Step 2: Convert to fraction form
    89,715/139,308 = 139,308/x
  3. Step 3: Cross multiply
    89,715x = 139,308 × 139,308
  4. Step 4: Simplify right side
    89,715x = 19,406,718,864
  5. Step 5: Solve for x
    x = 19,406,718,864/89,715
  6. Step 6: Final answer
    x = 216,315.21

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.