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Finding the Third Proportional to 71,570 and 97,199

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Solution

The third proportional to 71,570 and 97,199 is: 132,005.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,570 : 97,199 = 97,199 : x
  2. Step 2: Convert to fraction form
    71,570/97,199 = 97,199/x
  3. Step 3: Cross multiply
    71,570x = 97,199 × 97,199
  4. Step 4: Simplify right side
    71,570x = 9,447,645,601
  5. Step 5: Solve for x
    x = 9,447,645,601/71,570
  6. Step 6: Final answer
    x = 132,005.67

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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.