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Finding the Third Proportional to 117,032 and 170,236

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Solution

The third proportional to 117,032 and 170,236 is: 247,627.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,032 : 170,236 = 170,236 : x
  2. Step 2: Convert to fraction form
    117,032/170,236 = 170,236/x
  3. Step 3: Cross multiply
    117,032x = 170,236 × 170,236
  4. Step 4: Simplify right side
    117,032x = 28,980,295,696
  5. Step 5: Solve for x
    x = 28,980,295,696/117,032
  6. Step 6: Final answer
    x = 247,627.11

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.