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Finding the Third Proportional to 46,920 and 103,440

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Solution

The third proportional to 46,920 and 103,440 is: 228,044.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,920 : 103,440 = 103,440 : x
  2. Step 2: Convert to fraction form
    46,920/103,440 = 103,440/x
  3. Step 3: Cross multiply
    46,920x = 103,440 × 103,440
  4. Step 4: Simplify right side
    46,920x = 10,699,833,600
  5. Step 5: Solve for x
    x = 10,699,833,600/46,920
  6. Step 6: Final answer
    x = 228,044.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.