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Finding the Third Proportional to 117,007 and 186,445

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Solution

The third proportional to 117,007 and 186,445 is: 297,091.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,007 : 186,445 = 186,445 : x
  2. Step 2: Convert to fraction form
    117,007/186,445 = 186,445/x
  3. Step 3: Cross multiply
    117,007x = 186,445 × 186,445
  4. Step 4: Simplify right side
    117,007x = 34,761,738,025
  5. Step 5: Solve for x
    x = 34,761,738,025/117,007
  6. Step 6: Final answer
    x = 297,091.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.