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Finding the Third Proportional to 42,089.63 and 90,855.75

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Solution

The third proportional to 42,089.63 and 90,855.75 is: 196,123.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,089.63 : 90,855.75 = 90,855.75 : x
  2. Step 2: Convert to fraction form
    42,089.63/90,855.75 = 90,855.75/x
  3. Step 3: Cross multiply
    42,089.63x = 90,855.75 × 90,855.75
  4. Step 4: Simplify right side
    42,089.63x = 8,254,767,308.06
  5. Step 5: Solve for x
    x = 8,254,767,308.06/42,089.63
  6. Step 6: Final answer
    x = 196,123.57

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.