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Finding the Third Proportional to 70,475 and 96,640

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Solution

The third proportional to 70,475 and 96,640 is: 132,519.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,475 : 96,640 = 96,640 : x
  2. Step 2: Convert to fraction form
    70,475/96,640 = 96,640/x
  3. Step 3: Cross multiply
    70,475x = 96,640 × 96,640
  4. Step 4: Simplify right side
    70,475x = 9,339,289,600
  5. Step 5: Solve for x
    x = 9,339,289,600/70,475
  6. Step 6: Final answer
    x = 132,519.19

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.