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Finding the Third Proportional to 48,597.75 and 76,070.81

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Solution

The third proportional to 48,597.75 and 76,070.81 is: 119,074.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,597.75 : 76,070.81 = 76,070.81 : x
  2. Step 2: Convert to fraction form
    48,597.75/76,070.81 = 76,070.81/x
  3. Step 3: Cross multiply
    48,597.75x = 76,070.81 × 76,070.81
  4. Step 4: Simplify right side
    48,597.75x = 5,786,768,514.41
  5. Step 5: Solve for x
    x = 5,786,768,514.41/48,597.75
  6. Step 6: Final answer
    x = 119,074.82

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.