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Finding the Third Proportional to 114,588 and 177,066

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Solution

The third proportional to 114,588 and 177,066 is: 273,609.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,588 : 177,066 = 177,066 : x
  2. Step 2: Convert to fraction form
    114,588/177,066 = 177,066/x
  3. Step 3: Cross multiply
    114,588x = 177,066 × 177,066
  4. Step 4: Simplify right side
    114,588x = 31,352,368,356
  5. Step 5: Solve for x
    x = 31,352,368,356/114,588
  6. Step 6: Final answer
    x = 273,609.53

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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.