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Finding the Third Proportional to 53,900 and 114,603

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Solution

The third proportional to 53,900 and 114,603 is: 243,670.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,900 : 114,603 = 114,603 : x
  2. Step 2: Convert to fraction form
    53,900/114,603 = 114,603/x
  3. Step 3: Cross multiply
    53,900x = 114,603 × 114,603
  4. Step 4: Simplify right side
    53,900x = 13,133,847,609
  5. Step 5: Solve for x
    x = 13,133,847,609/53,900
  6. Step 6: Final answer
    x = 243,670.64

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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.