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Finding the Third Proportional to 43,083 and 90,090

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Solution

The third proportional to 43,083 and 90,090 is: 188,385.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,083 : 90,090 = 90,090 : x
  2. Step 2: Convert to fraction form
    43,083/90,090 = 90,090/x
  3. Step 3: Cross multiply
    43,083x = 90,090 × 90,090
  4. Step 4: Simplify right side
    43,083x = 8,116,208,100
  5. Step 5: Solve for x
    x = 8,116,208,100/43,083
  6. Step 6: Final answer
    x = 188,385.40

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.