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Finding the Third Proportional to 114,724 and 177,222

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Solution

The third proportional to 114,724 and 177,222 is: 273,766.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,724 : 177,222 = 177,222 : x
  2. Step 2: Convert to fraction form
    114,724/177,222 = 177,222/x
  3. Step 3: Cross multiply
    114,724x = 177,222 × 177,222
  4. Step 4: Simplify right side
    114,724x = 31,407,637,284
  5. Step 5: Solve for x
    x = 31,407,637,284/114,724
  6. Step 6: Final answer
    x = 273,766.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.