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Finding the Third Proportional to 41,437 and 89,426

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Solution

The third proportional to 41,437 and 89,426 is: 192,992.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,437 : 89,426 = 89,426 : x
  2. Step 2: Convert to fraction form
    41,437/89,426 = 89,426/x
  3. Step 3: Cross multiply
    41,437x = 89,426 × 89,426
  4. Step 4: Simplify right side
    41,437x = 7,997,009,476
  5. Step 5: Solve for x
    x = 7,997,009,476/41,437
  6. Step 6: Final answer
    x = 192,992.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.