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Finding the Third Proportional to 69,407.63 and 104,965.88

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Solution

The third proportional to 69,407.63 and 104,965.88 is: 158,740.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,407.63 : 104,965.88 = 104,965.88 : x
  2. Step 2: Convert to fraction form
    69,407.63/104,965.88 = 104,965.88/x
  3. Step 3: Cross multiply
    69,407.63x = 104,965.88 × 104,965.88
  4. Step 4: Simplify right side
    69,407.63x = 11,017,834,914.52
  5. Step 5: Solve for x
    x = 11,017,834,914.52/69,407.63
  6. Step 6: Final answer
    x = 158,740.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.