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Finding the Third Proportional to 46,574 and 95,308

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Solution

The third proportional to 46,574 and 95,308 is: 195,036.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,574 : 95,308 = 95,308 : x
  2. Step 2: Convert to fraction form
    46,574/95,308 = 95,308/x
  3. Step 3: Cross multiply
    46,574x = 95,308 × 95,308
  4. Step 4: Simplify right side
    46,574x = 9,083,614,864
  5. Step 5: Solve for x
    x = 9,083,614,864/46,574
  6. Step 6: Final answer
    x = 195,036.18

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.