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Finding the Third Proportional to 42,650 and 90,222

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Solution

The third proportional to 42,650 and 90,222 is: 190,856.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,650 : 90,222 = 90,222 : x
  2. Step 2: Convert to fraction form
    42,650/90,222 = 90,222/x
  3. Step 3: Cross multiply
    42,650x = 90,222 × 90,222
  4. Step 4: Simplify right side
    42,650x = 8,140,009,284
  5. Step 5: Solve for x
    x = 8,140,009,284/42,650
  6. Step 6: Final answer
    x = 190,856.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.