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Finding the Third Proportional to 121,706 and 177,159

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Solution

The third proportional to 121,706 and 177,159 is: 257,878.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,706 : 177,159 = 177,159 : x
  2. Step 2: Convert to fraction form
    121,706/177,159 = 177,159/x
  3. Step 3: Cross multiply
    121,706x = 177,159 × 177,159
  4. Step 4: Simplify right side
    121,706x = 31,385,311,281
  5. Step 5: Solve for x
    x = 31,385,311,281/121,706
  6. Step 6: Final answer
    x = 257,878.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.