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Finding the Third Proportional to 137,644.13 and 203,907.75

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Solution

The third proportional to 137,644.13 and 203,907.75 is: 302,071.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,644.13 : 203,907.75 = 203,907.75 : x
  2. Step 2: Convert to fraction form
    137,644.13/203,907.75 = 203,907.75/x
  3. Step 3: Cross multiply
    137,644.13x = 203,907.75 × 203,907.75
  4. Step 4: Simplify right side
    137,644.13x = 41,578,370,510.06
  5. Step 5: Solve for x
    x = 41,578,370,510.06/137,644.13
  6. Step 6: Final answer
    x = 302,071.52

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.