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Finding the Third Proportional to 89,710 and 139,303

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Solution

The third proportional to 89,710 and 139,303 is: 216,311.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,710 : 139,303 = 139,303 : x
  2. Step 2: Convert to fraction form
    89,710/139,303 = 139,303/x
  3. Step 3: Cross multiply
    89,710x = 139,303 × 139,303
  4. Step 4: Simplify right side
    89,710x = 19,405,325,809
  5. Step 5: Solve for x
    x = 19,405,325,809/89,710
  6. Step 6: Final answer
    x = 216,311.74

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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.