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Finding the Third Proportional to 46,420 and 95,298

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Solution

The third proportional to 46,420 and 95,298 is: 195,642.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,420 : 95,298 = 95,298 : x
  2. Step 2: Convert to fraction form
    46,420/95,298 = 95,298/x
  3. Step 3: Cross multiply
    46,420x = 95,298 × 95,298
  4. Step 4: Simplify right side
    46,420x = 9,081,708,804
  5. Step 5: Solve for x
    x = 9,081,708,804/46,420
  6. Step 6: Final answer
    x = 195,642.15

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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.