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Finding the Third Proportional to 70,176 and 111,553

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Solution

The third proportional to 70,176 and 111,553 is: 177,326.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,176 : 111,553 = 111,553 : x
  2. Step 2: Convert to fraction form
    70,176/111,553 = 111,553/x
  3. Step 3: Cross multiply
    70,176x = 111,553 × 111,553
  4. Step 4: Simplify right side
    70,176x = 12,444,071,809
  5. Step 5: Solve for x
    x = 12,444,071,809/70,176
  6. Step 6: Final answer
    x = 177,326.60

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.