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Finding the Third Proportional to 54,705.75 and 118,748.06

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Solution

The third proportional to 54,705.75 and 118,748.06 is: 257,762.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,705.75 : 118,748.06 = 118,748.06 : x
  2. Step 2: Convert to fraction form
    54,705.75/118,748.06 = 118,748.06/x
  3. Step 3: Cross multiply
    54,705.75x = 118,748.06 × 118,748.06
  4. Step 4: Simplify right side
    54,705.75x = 14,101,102,347.50
  5. Step 5: Solve for x
    x = 14,101,102,347.50/54,705.75
  6. Step 6: Final answer
    x = 257,762.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.