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Finding the Third Proportional to 42,145.94 and 90,303.45

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Solution

The third proportional to 42,145.94 and 90,303.45 is: 193,487.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,145.94 : 90,303.45 = 90,303.45 : x
  2. Step 2: Convert to fraction form
    42,145.94/90,303.45 = 90,303.45/x
  3. Step 3: Cross multiply
    42,145.94x = 90,303.45 × 90,303.45
  4. Step 4: Simplify right side
    42,145.94x = 8,154,713,293.55
  5. Step 5: Solve for x
    x = 8,154,713,293.55/42,145.94
  6. Step 6: Final answer
    x = 193,487.54

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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.