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Finding the Third Proportional to 70,400 and 105,240

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Solution

The third proportional to 70,400 and 105,240 is: 157,321.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,400 : 105,240 = 105,240 : x
  2. Step 2: Convert to fraction form
    70,400/105,240 = 105,240/x
  3. Step 3: Cross multiply
    70,400x = 105,240 × 105,240
  4. Step 4: Simplify right side
    70,400x = 11,075,457,600
  5. Step 5: Solve for x
    x = 11,075,457,600/70,400
  6. Step 6: Final answer
    x = 157,321.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.