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Finding the Third Proportional to 70,454 and 105,687

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Solution

The third proportional to 70,454 and 105,687 is: 158,539.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,454 : 105,687 = 105,687 : x
  2. Step 2: Convert to fraction form
    70,454/105,687 = 105,687/x
  3. Step 3: Cross multiply
    70,454x = 105,687 × 105,687
  4. Step 4: Simplify right side
    70,454x = 11,169,741,969
  5. Step 5: Solve for x
    x = 11,169,741,969/70,454
  6. Step 6: Final answer
    x = 158,539.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.