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Finding the Third Proportional to 45,470 and 98,175

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Solution

The third proportional to 45,470 and 98,175 is: 211,971.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,470 : 98,175 = 98,175 : x
  2. Step 2: Convert to fraction form
    45,470/98,175 = 98,175/x
  3. Step 3: Cross multiply
    45,470x = 98,175 × 98,175
  4. Step 4: Simplify right side
    45,470x = 9,638,330,625
  5. Step 5: Solve for x
    x = 9,638,330,625/45,470
  6. Step 6: Final answer
    x = 211,971.20

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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.