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Finding the Third Proportional to 45,019 and 97,257

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Solution

The third proportional to 45,019 and 97,257 is: 210,109.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,019 : 97,257 = 97,257 : x
  2. Step 2: Convert to fraction form
    45,019/97,257 = 97,257/x
  3. Step 3: Cross multiply
    45,019x = 97,257 × 97,257
  4. Step 4: Simplify right side
    45,019x = 9,458,924,049
  5. Step 5: Solve for x
    x = 9,458,924,049/45,019
  6. Step 6: Final answer
    x = 210,109.60

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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.