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Finding the Third Proportional to 114,604 and 177,090

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Solution

The third proportional to 114,604 and 177,090 is: 273,645.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,604 : 177,090 = 177,090 : x
  2. Step 2: Convert to fraction form
    114,604/177,090 = 177,090/x
  3. Step 3: Cross multiply
    114,604x = 177,090 × 177,090
  4. Step 4: Simplify right side
    114,604x = 31,360,868,100
  5. Step 5: Solve for x
    x = 31,360,868,100/114,604
  6. Step 6: Final answer
    x = 273,645.49

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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.