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Finding the Third Proportional to 114,688 and 177,232

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Solution

The third proportional to 114,688 and 177,232 is: 273,883.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,688 : 177,232 = 177,232 : x
  2. Step 2: Convert to fraction form
    114,688/177,232 = 177,232/x
  3. Step 3: Cross multiply
    114,688x = 177,232 × 177,232
  4. Step 4: Simplify right side
    114,688x = 31,411,181,824
  5. Step 5: Solve for x
    x = 31,411,181,824/114,688
  6. Step 6: Final answer
    x = 273,883.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.