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Finding the Third Proportional to 89,456 and 139,072

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Solution

The third proportional to 89,456 and 139,072 is: 216,207.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,456 : 139,072 = 139,072 : x
  2. Step 2: Convert to fraction form
    89,456/139,072 = 139,072/x
  3. Step 3: Cross multiply
    89,456x = 139,072 × 139,072
  4. Step 4: Simplify right side
    89,456x = 19,341,021,184
  5. Step 5: Solve for x
    x = 19,341,021,184/89,456
  6. Step 6: Final answer
    x = 216,207.09

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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.