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Finding the Third Proportional to 45,212 and 98,522

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Solution

The third proportional to 45,212 and 98,522 is: 214,690.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,212 : 98,522 = 98,522 : x
  2. Step 2: Convert to fraction form
    45,212/98,522 = 98,522/x
  3. Step 3: Cross multiply
    45,212x = 98,522 × 98,522
  4. Step 4: Simplify right side
    45,212x = 9,706,584,484
  5. Step 5: Solve for x
    x = 9,706,584,484/45,212
  6. Step 6: Final answer
    x = 214,690.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.