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Finding the Third Proportional to 45,280 and 99,176

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Solution

The third proportional to 45,280 and 99,176 is: 217,223.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,280 : 99,176 = 99,176 : x
  2. Step 2: Convert to fraction form
    45,280/99,176 = 99,176/x
  3. Step 3: Cross multiply
    45,280x = 99,176 × 99,176
  4. Step 4: Simplify right side
    45,280x = 9,835,878,976
  5. Step 5: Solve for x
    x = 9,835,878,976/45,280
  6. Step 6: Final answer
    x = 217,223.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.