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Finding the Third Proportional to 44,004 and 92,364

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Solution

The third proportional to 44,004 and 92,364 is: 193,871.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,004 : 92,364 = 92,364 : x
  2. Step 2: Convert to fraction form
    44,004/92,364 = 92,364/x
  3. Step 3: Cross multiply
    44,004x = 92,364 × 92,364
  4. Step 4: Simplify right side
    44,004x = 8,531,108,496
  5. Step 5: Solve for x
    x = 8,531,108,496/44,004
  6. Step 6: Final answer
    x = 193,871.20

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.