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Finding the Third Proportional to 69,705.56 and 105,211.41

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Solution

The third proportional to 69,705.56 and 105,211.41 is: 158,802.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,705.56 : 105,211.41 = 105,211.41 : x
  2. Step 2: Convert to fraction form
    69,705.56/105,211.41 = 105,211.41/x
  3. Step 3: Cross multiply
    69,705.56x = 105,211.41 × 105,211.41
  4. Step 4: Simplify right side
    69,705.56x = 11,069,440,005.10
  5. Step 5: Solve for x
    x = 11,069,440,005.10/69,705.56
  6. Step 6: Final answer
    x = 158,802.82

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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.