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Finding the Third Proportional to 118,716 and 184,410

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Solution

The third proportional to 118,716 and 184,410 is: 286,457.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,716 : 184,410 = 184,410 : x
  2. Step 2: Convert to fraction form
    118,716/184,410 = 184,410/x
  3. Step 3: Cross multiply
    118,716x = 184,410 × 184,410
  4. Step 4: Simplify right side
    118,716x = 34,007,048,100
  5. Step 5: Solve for x
    x = 34,007,048,100/118,716
  6. Step 6: Final answer
    x = 286,457.16

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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.