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Finding the Third Proportional to 70,306 and 107,546

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Solution

The third proportional to 70,306 and 107,546 is: 164,511.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,306 : 107,546 = 107,546 : x
  2. Step 2: Convert to fraction form
    70,306/107,546 = 107,546/x
  3. Step 3: Cross multiply
    70,306x = 107,546 × 107,546
  4. Step 4: Simplify right side
    70,306x = 11,566,142,116
  5. Step 5: Solve for x
    x = 11,566,142,116/70,306
  6. Step 6: Final answer
    x = 164,511.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.