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Finding the Third Proportional to 67,148 and 98,866

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Solution

The third proportional to 67,148 and 98,866 is: 145,566.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,148 : 98,866 = 98,866 : x
  2. Step 2: Convert to fraction form
    67,148/98,866 = 98,866/x
  3. Step 3: Cross multiply
    67,148x = 98,866 × 98,866
  4. Step 4: Simplify right side
    67,148x = 9,774,485,956
  5. Step 5: Solve for x
    x = 9,774,485,956/67,148
  6. Step 6: Final answer
    x = 145,566.30

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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.