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Finding the Third Proportional to 134,105.25 and 287,681.25

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Solution

The third proportional to 134,105.25 and 287,681.25 is: 617,130.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,105.25 : 287,681.25 = 287,681.25 : x
  2. Step 2: Convert to fraction form
    134,105.25/287,681.25 = 287,681.25/x
  3. Step 3: Cross multiply
    134,105.25x = 287,681.25 × 287,681.25
  4. Step 4: Simplify right side
    134,105.25x = 82,760,501,601.56
  5. Step 5: Solve for x
    x = 82,760,501,601.56/134,105.25
  6. Step 6: Final answer
    x = 617,130.96

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.