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Finding the Third Proportional to 46,616 and 72,232

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Solution

The third proportional to 46,616 and 72,232 is: 111,924.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,616 : 72,232 = 72,232 : x
  2. Step 2: Convert to fraction form
    46,616/72,232 = 72,232/x
  3. Step 3: Cross multiply
    46,616x = 72,232 × 72,232
  4. Step 4: Simplify right side
    46,616x = 5,217,461,824
  5. Step 5: Solve for x
    x = 5,217,461,824/46,616
  6. Step 6: Final answer
    x = 111,924.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.