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Finding the Third Proportional to 70,970 and 118,277

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Solution

The third proportional to 70,970 and 118,277 is: 197,117.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,970 : 118,277 = 118,277 : x
  2. Step 2: Convert to fraction form
    70,970/118,277 = 118,277/x
  3. Step 3: Cross multiply
    70,970x = 118,277 × 118,277
  4. Step 4: Simplify right side
    70,970x = 13,989,448,729
  5. Step 5: Solve for x
    x = 13,989,448,729/70,970
  6. Step 6: Final answer
    x = 197,117.78

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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.