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Finding the Third Proportional to 46,823 and 87,004

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Solution

The third proportional to 46,823 and 87,004 is: 161,666.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,823 : 87,004 = 87,004 : x
  2. Step 2: Convert to fraction form
    46,823/87,004 = 87,004/x
  3. Step 3: Cross multiply
    46,823x = 87,004 × 87,004
  4. Step 4: Simplify right side
    46,823x = 7,569,696,016
  5. Step 5: Solve for x
    x = 7,569,696,016/46,823
  6. Step 6: Final answer
    x = 161,666.19

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.