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Finding the Third Proportional to 45,239 and 98,260

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Solution

The third proportional to 45,239 and 98,260 is: 213,422.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,239 : 98,260 = 98,260 : x
  2. Step 2: Convert to fraction form
    45,239/98,260 = 98,260/x
  3. Step 3: Cross multiply
    45,239x = 98,260 × 98,260
  4. Step 4: Simplify right side
    45,239x = 9,655,027,600
  5. Step 5: Solve for x
    x = 9,655,027,600/45,239
  6. Step 6: Final answer
    x = 213,422.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.