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Finding the Third Proportional to 42,008.63 and 90,259.31

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Solution

The third proportional to 42,008.63 and 90,259.31 is: 193,930.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,008.63 : 90,259.31 = 90,259.31 : x
  2. Step 2: Convert to fraction form
    42,008.63/90,259.31 = 90,259.31/x
  3. Step 3: Cross multiply
    42,008.63x = 90,259.31 × 90,259.31
  4. Step 4: Simplify right side
    42,008.63x = 8,146,743,492.97
  5. Step 5: Solve for x
    x = 8,146,743,492.97/42,008.63
  6. Step 6: Final answer
    x = 193,930.26

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.