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Finding the Third Proportional to 42,095.63 and 90,028.13

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Solution

The third proportional to 42,095.63 and 90,028.13 is: 192,539.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,095.63 : 90,028.13 = 90,028.13 : x
  2. Step 2: Convert to fraction form
    42,095.63/90,028.13 = 90,028.13/x
  3. Step 3: Cross multiply
    42,095.63x = 90,028.13 × 90,028.13
  4. Step 4: Simplify right side
    42,095.63x = 8,105,063,291.02
  5. Step 5: Solve for x
    x = 8,105,063,291.02/42,095.63
  6. Step 6: Final answer
    x = 192,539.33

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.