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Finding the Third Proportional to 45,286 and 98,346

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Solution

The third proportional to 45,286 and 98,346 is: 213,574.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,286 : 98,346 = 98,346 : x
  2. Step 2: Convert to fraction form
    45,286/98,346 = 98,346/x
  3. Step 3: Cross multiply
    45,286x = 98,346 × 98,346
  4. Step 4: Simplify right side
    45,286x = 9,671,935,716
  5. Step 5: Solve for x
    x = 9,671,935,716/45,286
  6. Step 6: Final answer
    x = 213,574.52

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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.