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Finding the Third Proportional to 63,844 and 101,045

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Solution

The third proportional to 63,844 and 101,045 is: 159,922.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,844 : 101,045 = 101,045 : x
  2. Step 2: Convert to fraction form
    63,844/101,045 = 101,045/x
  3. Step 3: Cross multiply
    63,844x = 101,045 × 101,045
  4. Step 4: Simplify right side
    63,844x = 10,210,092,025
  5. Step 5: Solve for x
    x = 10,210,092,025/63,844
  6. Step 6: Final answer
    x = 159,922.50

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.