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Finding the Third Proportional to 114,053 and 166,745

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Solution

The third proportional to 114,053 and 166,745 is: 243,780.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,053 : 166,745 = 166,745 : x
  2. Step 2: Convert to fraction form
    114,053/166,745 = 166,745/x
  3. Step 3: Cross multiply
    114,053x = 166,745 × 166,745
  4. Step 4: Simplify right side
    114,053x = 27,803,895,025
  5. Step 5: Solve for x
    x = 27,803,895,025/114,053
  6. Step 6: Final answer
    x = 243,780.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.