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Finding the Third Proportional to 70,439.63 and 106,266.94

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Solution

The third proportional to 70,439.63 and 106,266.94 is: 160,316.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,439.63 : 106,266.94 = 106,266.94 : x
  2. Step 2: Convert to fraction form
    70,439.63/106,266.94 = 106,266.94/x
  3. Step 3: Cross multiply
    70,439.63x = 106,266.94 × 106,266.94
  4. Step 4: Simplify right side
    70,439.63x = 11,292,662,005.63
  5. Step 5: Solve for x
    x = 11,292,662,005.63/70,439.63
  6. Step 6: Final answer
    x = 160,316.90

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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.