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Finding the Third Proportional to 44,853.75 and 97,139.25

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Solution

The third proportional to 44,853.75 and 97,139.25 is: 210,373.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,853.75 : 97,139.25 = 97,139.25 : x
  2. Step 2: Convert to fraction form
    44,853.75/97,139.25 = 97,139.25/x
  3. Step 3: Cross multiply
    44,853.75x = 97,139.25 × 97,139.25
  4. Step 4: Simplify right side
    44,853.75x = 9,436,033,890.56
  5. Step 5: Solve for x
    x = 9,436,033,890.56/44,853.75
  6. Step 6: Final answer
    x = 210,373.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.