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Finding the Third Proportional to 76,104 and 120,501.75

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Solution

The third proportional to 76,104 and 120,501.75 is: 190,800.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,104 : 120,501.75 = 120,501.75 : x
  2. Step 2: Convert to fraction form
    76,104/120,501.75 = 120,501.75/x
  3. Step 3: Cross multiply
    76,104x = 120,501.75 × 120,501.75
  4. Step 4: Simplify right side
    76,104x = 14,520,671,753.06
  5. Step 5: Solve for x
    x = 14,520,671,753.06/76,104
  6. Step 6: Final answer
    x = 190,800.38

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.