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Finding the Third Proportional to 63,019.75 and 97,627.75

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Solution

The third proportional to 63,019.75 and 97,627.75 is: 151,241.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,019.75 : 97,627.75 = 97,627.75 : x
  2. Step 2: Convert to fraction form
    63,019.75/97,627.75 = 97,627.75/x
  3. Step 3: Cross multiply
    63,019.75x = 97,627.75 × 97,627.75
  4. Step 4: Simplify right side
    63,019.75x = 9,531,177,570.06
  5. Step 5: Solve for x
    x = 9,531,177,570.06/63,019.75
  6. Step 6: Final answer
    x = 151,241.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.