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Finding the Third Proportional to 105,816 and 141,066

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Solution

The third proportional to 105,816 and 141,066 is: 188,058.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,816 : 141,066 = 141,066 : x
  2. Step 2: Convert to fraction form
    105,816/141,066 = 141,066/x
  3. Step 3: Cross multiply
    105,816x = 141,066 × 141,066
  4. Step 4: Simplify right side
    105,816x = 19,899,616,356
  5. Step 5: Solve for x
    x = 19,899,616,356/105,816
  6. Step 6: Final answer
    x = 188,058.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.