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Finding the Third Proportional to 67,810 and 104,998

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Solution

The third proportional to 67,810 and 104,998 is: 162,580.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,810 : 104,998 = 104,998 : x
  2. Step 2: Convert to fraction form
    67,810/104,998 = 104,998/x
  3. Step 3: Cross multiply
    67,810x = 104,998 × 104,998
  4. Step 4: Simplify right side
    67,810x = 11,024,580,004
  5. Step 5: Solve for x
    x = 11,024,580,004/67,810
  6. Step 6: Final answer
    x = 162,580.45

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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.