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Finding the Third Proportional to 70,526 and 107,085

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Solution

The third proportional to 70,526 and 107,085 is: 162,595.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,526 : 107,085 = 107,085 : x
  2. Step 2: Convert to fraction form
    70,526/107,085 = 107,085/x
  3. Step 3: Cross multiply
    70,526x = 107,085 × 107,085
  4. Step 4: Simplify right side
    70,526x = 11,467,197,225
  5. Step 5: Solve for x
    x = 11,467,197,225/70,526
  6. Step 6: Final answer
    x = 162,595.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.