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Finding the Third Proportional to 70,713 and 97,308

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Solution

The third proportional to 70,713 and 97,308 is: 133,905.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,713 : 97,308 = 97,308 : x
  2. Step 2: Convert to fraction form
    70,713/97,308 = 97,308/x
  3. Step 3: Cross multiply
    70,713x = 97,308 × 97,308
  4. Step 4: Simplify right side
    70,713x = 9,468,846,864
  5. Step 5: Solve for x
    x = 9,468,846,864/70,713
  6. Step 6: Final answer
    x = 133,905.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.