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Finding the Third Proportional to 44,292 and 94,496.25

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Solution

The third proportional to 44,292 and 94,496.25 is: 201,606.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,292 : 94,496.25 = 94,496.25 : x
  2. Step 2: Convert to fraction form
    44,292/94,496.25 = 94,496.25/x
  3. Step 3: Cross multiply
    44,292x = 94,496.25 × 94,496.25
  4. Step 4: Simplify right side
    44,292x = 8,929,541,264.06
  5. Step 5: Solve for x
    x = 8,929,541,264.06/44,292
  6. Step 6: Final answer
    x = 201,606.19

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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.