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Finding the Third Proportional to 115,248 and 155,016

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Solution

The third proportional to 115,248 and 155,016 is: 208,506.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,248 : 155,016 = 155,016 : x
  2. Step 2: Convert to fraction form
    115,248/155,016 = 155,016/x
  3. Step 3: Cross multiply
    115,248x = 155,016 × 155,016
  4. Step 4: Simplify right side
    115,248x = 24,029,960,256
  5. Step 5: Solve for x
    x = 24,029,960,256/115,248
  6. Step 6: Final answer
    x = 208,506.53

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.