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Finding the Third Proportional to 63,924 and 100,072

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Solution

The third proportional to 63,924 and 100,072 is: 156,661.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,924 : 100,072 = 100,072 : x
  2. Step 2: Convert to fraction form
    63,924/100,072 = 100,072/x
  3. Step 3: Cross multiply
    63,924x = 100,072 × 100,072
  4. Step 4: Simplify right side
    63,924x = 10,014,405,184
  5. Step 5: Solve for x
    x = 10,014,405,184/63,924
  6. Step 6: Final answer
    x = 156,661.12

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.