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Finding the Third Proportional to 59,095.69 and 90,830.81

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Solution

The third proportional to 59,095.69 and 90,830.81 is: 139,608.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,095.69 : 90,830.81 = 90,830.81 : x
  2. Step 2: Convert to fraction form
    59,095.69/90,830.81 = 90,830.81/x
  3. Step 3: Cross multiply
    59,095.69x = 90,830.81 × 90,830.81
  4. Step 4: Simplify right side
    59,095.69x = 8,250,236,499.41
  5. Step 5: Solve for x
    x = 8,250,236,499.41/59,095.69
  6. Step 6: Final answer
    x = 139,608.10

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.