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Finding the Third Proportional to 44,952 and 97,336

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Solution

The third proportional to 44,952 and 97,336 is: 210,764.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,952 : 97,336 = 97,336 : x
  2. Step 2: Convert to fraction form
    44,952/97,336 = 97,336/x
  3. Step 3: Cross multiply
    44,952x = 97,336 × 97,336
  4. Step 4: Simplify right side
    44,952x = 9,474,296,896
  5. Step 5: Solve for x
    x = 9,474,296,896/44,952
  6. Step 6: Final answer
    x = 210,764.75

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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.