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Finding the Third Proportional to 86,980.50 and 134,399

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Solution

The third proportional to 86,980.50 and 134,399 is: 207,668.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,980.50 : 134,399 = 134,399 : x
  2. Step 2: Convert to fraction form
    86,980.50/134,399 = 134,399/x
  3. Step 3: Cross multiply
    86,980.50x = 134,399 × 134,399
  4. Step 4: Simplify right side
    86,980.50x = 18,063,091,201
  5. Step 5: Solve for x
    x = 18,063,091,201/86,980.50
  6. Step 6: Final answer
    x = 207,668.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.