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Finding the Third Proportional to 70,526 and 96,708

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Solution

The third proportional to 70,526 and 96,708 is: 132,609.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,526 : 96,708 = 96,708 : x
  2. Step 2: Convert to fraction form
    70,526/96,708 = 96,708/x
  3. Step 3: Cross multiply
    70,526x = 96,708 × 96,708
  4. Step 4: Simplify right side
    70,526x = 9,352,437,264
  5. Step 5: Solve for x
    x = 9,352,437,264/70,526
  6. Step 6: Final answer
    x = 132,609.78

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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.