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Finding the Third Proportional to 41,906 and 89,428

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Solution

The third proportional to 41,906 and 89,428 is: 190,840.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,906 : 89,428 = 89,428 : x
  2. Step 2: Convert to fraction form
    41,906/89,428 = 89,428/x
  3. Step 3: Cross multiply
    41,906x = 89,428 × 89,428
  4. Step 4: Simplify right side
    41,906x = 7,997,367,184
  5. Step 5: Solve for x
    x = 7,997,367,184/41,906
  6. Step 6: Final answer
    x = 190,840.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.