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Finding the Third Proportional to 45,307 and 97,890

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Solution

The third proportional to 45,307 and 97,890 is: 211,500.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,307 : 97,890 = 97,890 : x
  2. Step 2: Convert to fraction form
    45,307/97,890 = 97,890/x
  3. Step 3: Cross multiply
    45,307x = 97,890 × 97,890
  4. Step 4: Simplify right side
    45,307x = 9,582,452,100
  5. Step 5: Solve for x
    x = 9,582,452,100/45,307
  6. Step 6: Final answer
    x = 211,500.48

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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.