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Finding the Third Proportional to 45,889 and 97,292

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Solution

The third proportional to 45,889 and 97,292 is: 206,274.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,889 : 97,292 = 97,292 : x
  2. Step 2: Convert to fraction form
    45,889/97,292 = 97,292/x
  3. Step 3: Cross multiply
    45,889x = 97,292 × 97,292
  4. Step 4: Simplify right side
    45,889x = 9,465,733,264
  5. Step 5: Solve for x
    x = 9,465,733,264/45,889
  6. Step 6: Final answer
    x = 206,274.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.