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Finding the Third Proportional to 114,066 and 153,603

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Solution

The third proportional to 114,066 and 153,603 is: 206,844.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,066 : 153,603 = 153,603 : x
  2. Step 2: Convert to fraction form
    114,066/153,603 = 153,603/x
  3. Step 3: Cross multiply
    114,066x = 153,603 × 153,603
  4. Step 4: Simplify right side
    114,066x = 23,593,881,609
  5. Step 5: Solve for x
    x = 23,593,881,609/114,066
  6. Step 6: Final answer
    x = 206,844.12

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.