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Finding the Third Proportional to 89,858 and 139,710

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Solution

The third proportional to 89,858 and 139,710 is: 217,219.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,858 : 139,710 = 139,710 : x
  2. Step 2: Convert to fraction form
    89,858/139,710 = 139,710/x
  3. Step 3: Cross multiply
    89,858x = 139,710 × 139,710
  4. Step 4: Simplify right side
    89,858x = 19,518,884,100
  5. Step 5: Solve for x
    x = 19,518,884,100/89,858
  6. Step 6: Final answer
    x = 217,219.21

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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.