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Finding the Third Proportional to 70,430 and 96,570

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Solution

The third proportional to 70,430 and 96,570 is: 132,411.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,430 : 96,570 = 96,570 : x
  2. Step 2: Convert to fraction form
    70,430/96,570 = 96,570/x
  3. Step 3: Cross multiply
    70,430x = 96,570 × 96,570
  4. Step 4: Simplify right side
    70,430x = 9,325,764,900
  5. Step 5: Solve for x
    x = 9,325,764,900/70,430
  6. Step 6: Final answer
    x = 132,411.83

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Why These Related Problems?

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