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Finding the Third Proportional to 76,165.50 and 118,410

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Solution

The third proportional to 76,165.50 and 118,410 is: 184,085.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,165.50 : 118,410 = 118,410 : x
  2. Step 2: Convert to fraction form
    76,165.50/118,410 = 118,410/x
  3. Step 3: Cross multiply
    76,165.50x = 118,410 × 118,410
  4. Step 4: Simplify right side
    76,165.50x = 14,020,928,100
  5. Step 5: Solve for x
    x = 14,020,928,100/76,165.50
  6. Step 6: Final answer
    x = 184,085.03

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.