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Finding the Third Proportional to 46,160 and 67,692

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Solution

The third proportional to 46,160 and 67,692 is: 99,267.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,160 : 67,692 = 67,692 : x
  2. Step 2: Convert to fraction form
    46,160/67,692 = 67,692/x
  3. Step 3: Cross multiply
    46,160x = 67,692 × 67,692
  4. Step 4: Simplify right side
    46,160x = 4,582,206,864
  5. Step 5: Solve for x
    x = 4,582,206,864/46,160
  6. Step 6: Final answer
    x = 99,267.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.