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Finding the Third Proportional to 45,176 and 97,336

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Solution

The third proportional to 45,176 and 97,336 is: 209,719.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,176 : 97,336 = 97,336 : x
  2. Step 2: Convert to fraction form
    45,176/97,336 = 97,336/x
  3. Step 3: Cross multiply
    45,176x = 97,336 × 97,336
  4. Step 4: Simplify right side
    45,176x = 9,474,296,896
  5. Step 5: Solve for x
    x = 9,474,296,896/45,176
  6. Step 6: Final answer
    x = 209,719.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.