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Finding the Third Proportional to 45,292.75 and 98,389

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Solution

The third proportional to 45,292.75 and 98,389 is: 213,729.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,292.75 : 98,389 = 98,389 : x
  2. Step 2: Convert to fraction form
    45,292.75/98,389 = 98,389/x
  3. Step 3: Cross multiply
    45,292.75x = 98,389 × 98,389
  4. Step 4: Simplify right side
    45,292.75x = 9,680,395,321
  5. Step 5: Solve for x
    x = 9,680,395,321/45,292.75
  6. Step 6: Final answer
    x = 213,729.47

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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.