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Finding the Third Proportional to 102,176 and 154,248

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Solution

The third proportional to 102,176 and 154,248 is: 232,857.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,176 : 154,248 = 154,248 : x
  2. Step 2: Convert to fraction form
    102,176/154,248 = 154,248/x
  3. Step 3: Cross multiply
    102,176x = 154,248 × 154,248
  4. Step 4: Simplify right side
    102,176x = 23,792,445,504
  5. Step 5: Solve for x
    x = 23,792,445,504/102,176
  6. Step 6: Final answer
    x = 232,857.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.