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Finding the Third Proportional to 63,821 and 101,746

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Solution

The third proportional to 63,821 and 101,746 is: 162,207.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,821 : 101,746 = 101,746 : x
  2. Step 2: Convert to fraction form
    63,821/101,746 = 101,746/x
  3. Step 3: Cross multiply
    63,821x = 101,746 × 101,746
  4. Step 4: Simplify right side
    63,821x = 10,352,248,516
  5. Step 5: Solve for x
    x = 10,352,248,516/63,821
  6. Step 6: Final answer
    x = 162,207.56

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.