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Finding the Third Proportional to 71,568 and 97,186.50

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Solution

The third proportional to 71,568 and 97,186.50 is: 131,975.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,568 : 97,186.50 = 97,186.50 : x
  2. Step 2: Convert to fraction form
    71,568/97,186.50 = 97,186.50/x
  3. Step 3: Cross multiply
    71,568x = 97,186.50 × 97,186.50
  4. Step 4: Simplify right side
    71,568x = 9,445,215,782.25
  5. Step 5: Solve for x
    x = 9,445,215,782.25/71,568
  6. Step 6: Final answer
    x = 131,975.40

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.