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Finding the Third Proportional to 46,850 and 72,219

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Solution

The third proportional to 46,850 and 72,219 is: 111,325.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,850 : 72,219 = 72,219 : x
  2. Step 2: Convert to fraction form
    46,850/72,219 = 72,219/x
  3. Step 3: Cross multiply
    46,850x = 72,219 × 72,219
  4. Step 4: Simplify right side
    46,850x = 5,215,583,961
  5. Step 5: Solve for x
    x = 5,215,583,961/46,850
  6. Step 6: Final answer
    x = 111,325.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.