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Finding the Third Proportional to 46,974 and 104,316

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Solution

The third proportional to 46,974 and 104,316 is: 231,656.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,974 : 104,316 = 104,316 : x
  2. Step 2: Convert to fraction form
    46,974/104,316 = 104,316/x
  3. Step 3: Cross multiply
    46,974x = 104,316 × 104,316
  4. Step 4: Simplify right side
    46,974x = 10,881,827,856
  5. Step 5: Solve for x
    x = 10,881,827,856/46,974
  6. Step 6: Final answer
    x = 231,656.40

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.