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Finding the Third Proportional to 89,964 and 134,457

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Solution

The third proportional to 89,964 and 134,457 is: 200,954.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,964 : 134,457 = 134,457 : x
  2. Step 2: Convert to fraction form
    89,964/134,457 = 134,457/x
  3. Step 3: Cross multiply
    89,964x = 134,457 × 134,457
  4. Step 4: Simplify right side
    89,964x = 18,078,684,849
  5. Step 5: Solve for x
    x = 18,078,684,849/89,964
  6. Step 6: Final answer
    x = 200,954.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.