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Finding the Third Proportional to 46,955 and 110,731.50

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Solution

The third proportional to 46,955 and 110,731.50 is: 261,132.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,955 : 110,731.50 = 110,731.50 : x
  2. Step 2: Convert to fraction form
    46,955/110,731.50 = 110,731.50/x
  3. Step 3: Cross multiply
    46,955x = 110,731.50 × 110,731.50
  4. Step 4: Simplify right side
    46,955x = 12,261,465,092.25
  5. Step 5: Solve for x
    x = 12,261,465,092.25/46,955
  6. Step 6: Final answer
    x = 261,132.26

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.