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Finding the Third Proportional to 42,216 and 90,090

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Solution

The third proportional to 42,216 and 90,090 is: 192,254.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,216 : 90,090 = 90,090 : x
  2. Step 2: Convert to fraction form
    42,216/90,090 = 90,090/x
  3. Step 3: Cross multiply
    42,216x = 90,090 × 90,090
  4. Step 4: Simplify right side
    42,216x = 8,116,208,100
  5. Step 5: Solve for x
    x = 8,116,208,100/42,216
  6. Step 6: Final answer
    x = 192,254.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.