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Finding the Third Proportional to 67,989 and 145,820.25

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Solution

The third proportional to 67,989 and 145,820.25 is: 312,749.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,989 : 145,820.25 = 145,820.25 : x
  2. Step 2: Convert to fraction form
    67,989/145,820.25 = 145,820.25/x
  3. Step 3: Cross multiply
    67,989x = 145,820.25 × 145,820.25
  4. Step 4: Simplify right side
    67,989x = 21,263,545,310.06
  5. Step 5: Solve for x
    x = 21,263,545,310.06/67,989
  6. Step 6: Final answer
    x = 312,749.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.