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Finding the Third Proportional to 86,544 and 130,968

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Solution

The third proportional to 86,544 and 130,968 is: 198,195.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,544 : 130,968 = 130,968 : x
  2. Step 2: Convert to fraction form
    86,544/130,968 = 130,968/x
  3. Step 3: Cross multiply
    86,544x = 130,968 × 130,968
  4. Step 4: Simplify right side
    86,544x = 17,152,617,024
  5. Step 5: Solve for x
    x = 17,152,617,024/86,544
  6. Step 6: Final answer
    x = 198,195.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.