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Finding the Third Proportional to 102,804.75 and 161,307.25

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Solution

The third proportional to 102,804.75 and 161,307.25 is: 253,101.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,804.75 : 161,307.25 = 161,307.25 : x
  2. Step 2: Convert to fraction form
    102,804.75/161,307.25 = 161,307.25/x
  3. Step 3: Cross multiply
    102,804.75x = 161,307.25 × 161,307.25
  4. Step 4: Simplify right side
    102,804.75x = 26,020,028,902.56
  5. Step 5: Solve for x
    x = 26,020,028,902.56/102,804.75
  6. Step 6: Final answer
    x = 253,101.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.