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Finding the Third Proportional to 54,749 and 118,495

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Solution

The third proportional to 54,749 and 118,495 is: 256,462.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,749 : 118,495 = 118,495 : x
  2. Step 2: Convert to fraction form
    54,749/118,495 = 118,495/x
  3. Step 3: Cross multiply
    54,749x = 118,495 × 118,495
  4. Step 4: Simplify right side
    54,749x = 14,041,065,025
  5. Step 5: Solve for x
    x = 14,041,065,025/54,749
  6. Step 6: Final answer
    x = 256,462.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.