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Finding the Third Proportional to 46,744.50 and 102,837.75

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Solution

The third proportional to 46,744.50 and 102,837.75 is: 226,242.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,744.50 : 102,837.75 = 102,837.75 : x
  2. Step 2: Convert to fraction form
    46,744.50/102,837.75 = 102,837.75/x
  3. Step 3: Cross multiply
    46,744.50x = 102,837.75 × 102,837.75
  4. Step 4: Simplify right side
    46,744.50x = 10,575,602,825.06
  5. Step 5: Solve for x
    x = 10,575,602,825.06/46,744.50
  6. Step 6: Final answer
    x = 226,242.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.