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Finding the Third Proportional to 45,450 and 98,160

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Solution

The third proportional to 45,450 and 98,160 is: 211,999.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,450 : 98,160 = 98,160 : x
  2. Step 2: Convert to fraction form
    45,450/98,160 = 98,160/x
  3. Step 3: Cross multiply
    45,450x = 98,160 × 98,160
  4. Step 4: Simplify right side
    45,450x = 9,635,385,600
  5. Step 5: Solve for x
    x = 9,635,385,600/45,450
  6. Step 6: Final answer
    x = 211,999.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.