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Finding the Third Proportional to 67,455 and 98,995

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Solution

The third proportional to 67,455 and 98,995 is: 145,282.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,455 : 98,995 = 98,995 : x
  2. Step 2: Convert to fraction form
    67,455/98,995 = 98,995/x
  3. Step 3: Cross multiply
    67,455x = 98,995 × 98,995
  4. Step 4: Simplify right side
    67,455x = 9,800,010,025
  5. Step 5: Solve for x
    x = 9,800,010,025/67,455
  6. Step 6: Final answer
    x = 145,282.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.