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Finding the Third Proportional to 54,537.47 and 117,830.11

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Solution

The third proportional to 54,537.47 and 117,830.11 is: 254,576.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,537.47 : 117,830.11 = 117,830.11 : x
  2. Step 2: Convert to fraction form
    54,537.47/117,830.11 = 117,830.11/x
  3. Step 3: Cross multiply
    54,537.47x = 117,830.11 × 117,830.11
  4. Step 4: Simplify right side
    54,537.47x = 13,883,934,675.32
  5. Step 5: Solve for x
    x = 13,883,934,675.32/54,537.47
  6. Step 6: Final answer
    x = 254,576.07

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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.