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Finding the Third Proportional to 137,072.75 and 215,076

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Solution

The third proportional to 137,072.75 and 215,076 is: 337,468.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,072.75 : 215,076 = 215,076 : x
  2. Step 2: Convert to fraction form
    137,072.75/215,076 = 215,076/x
  3. Step 3: Cross multiply
    137,072.75x = 215,076 × 215,076
  4. Step 4: Simplify right side
    137,072.75x = 46,257,685,776
  5. Step 5: Solve for x
    x = 46,257,685,776/137,072.75
  6. Step 6: Final answer
    x = 337,468.14

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