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Finding the Third Proportional to 63,683 and 98,197

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Solution

The third proportional to 63,683 and 98,197 is: 151,416.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,683 : 98,197 = 98,197 : x
  2. Step 2: Convert to fraction form
    63,683/98,197 = 98,197/x
  3. Step 3: Cross multiply
    63,683x = 98,197 × 98,197
  4. Step 4: Simplify right side
    63,683x = 9,642,650,809
  5. Step 5: Solve for x
    x = 9,642,650,809/63,683
  6. Step 6: Final answer
    x = 151,416.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.