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Finding the Third Proportional to 69,913 and 104,877

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Solution

The third proportional to 69,913 and 104,877 is: 157,326.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,913 : 104,877 = 104,877 : x
  2. Step 2: Convert to fraction form
    69,913/104,877 = 104,877/x
  3. Step 3: Cross multiply
    69,913x = 104,877 × 104,877
  4. Step 4: Simplify right side
    69,913x = 10,999,185,129
  5. Step 5: Solve for x
    x = 10,999,185,129/69,913
  6. Step 6: Final answer
    x = 157,326.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.