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Finding the Third Proportional to 63,816 and 101,004

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Solution

The third proportional to 63,816 and 101,004 is: 159,862.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,816 : 101,004 = 101,004 : x
  2. Step 2: Convert to fraction form
    63,816/101,004 = 101,004/x
  3. Step 3: Cross multiply
    63,816x = 101,004 × 101,004
  4. Step 4: Simplify right side
    63,816x = 10,201,808,016
  5. Step 5: Solve for x
    x = 10,201,808,016/63,816
  6. Step 6: Final answer
    x = 159,862.86

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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.