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Finding the Third Proportional to 53,898 and 114,600

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Solution

The third proportional to 53,898 and 114,600 is: 243,666.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,898 : 114,600 = 114,600 : x
  2. Step 2: Convert to fraction form
    53,898/114,600 = 114,600/x
  3. Step 3: Cross multiply
    53,898x = 114,600 × 114,600
  4. Step 4: Simplify right side
    53,898x = 13,133,160,000
  5. Step 5: Solve for x
    x = 13,133,160,000/53,898
  6. Step 6: Final answer
    x = 243,666.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.