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Finding the Third Proportional to 46,709 and 96,742

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Solution

The third proportional to 46,709 and 96,742 is: 200,368.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,709 : 96,742 = 96,742 : x
  2. Step 2: Convert to fraction form
    46,709/96,742 = 96,742/x
  3. Step 3: Cross multiply
    46,709x = 96,742 × 96,742
  4. Step 4: Simplify right side
    46,709x = 9,359,014,564
  5. Step 5: Solve for x
    x = 9,359,014,564/46,709
  6. Step 6: Final answer
    x = 200,368.55

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.