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Finding the Third Proportional to 70,968 and 118,272

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Solution

The third proportional to 70,968 and 118,272 is: 197,106.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,968 : 118,272 = 118,272 : x
  2. Step 2: Convert to fraction form
    70,968/118,272 = 118,272/x
  3. Step 3: Cross multiply
    70,968x = 118,272 × 118,272
  4. Step 4: Simplify right side
    70,968x = 13,988,265,984
  5. Step 5: Solve for x
    x = 13,988,265,984/70,968
  6. Step 6: Final answer
    x = 197,106.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.