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Finding the Third Proportional to 89,989 and 139,701

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Solution

The third proportional to 89,989 and 139,701 is: 216,875.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,989 : 139,701 = 139,701 : x
  2. Step 2: Convert to fraction form
    89,989/139,701 = 139,701/x
  3. Step 3: Cross multiply
    89,989x = 139,701 × 139,701
  4. Step 4: Simplify right side
    89,989x = 19,516,369,401
  5. Step 5: Solve for x
    x = 19,516,369,401/89,989
  6. Step 6: Final answer
    x = 216,875.06

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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.