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Finding the Third Proportional to 59,284.41 and 90,145.41

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Solution

The third proportional to 59,284.41 and 90,145.41 is: 137,071.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,284.41 : 90,145.41 = 90,145.41 : x
  2. Step 2: Convert to fraction form
    59,284.41/90,145.41 = 90,145.41/x
  3. Step 3: Cross multiply
    59,284.41x = 90,145.41 × 90,145.41
  4. Step 4: Simplify right side
    59,284.41x = 8,126,194,267.98
  5. Step 5: Solve for x
    x = 8,126,194,267.98/59,284.41
  6. Step 6: Final answer
    x = 137,071.36

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.