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Finding the Third Proportional to 76,700 and 119,037

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Solution

The third proportional to 76,700 and 119,037 is: 184,743.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,700 : 119,037 = 119,037 : x
  2. Step 2: Convert to fraction form
    76,700/119,037 = 119,037/x
  3. Step 3: Cross multiply
    76,700x = 119,037 × 119,037
  4. Step 4: Simplify right side
    76,700x = 14,169,807,369
  5. Step 5: Solve for x
    x = 14,169,807,369/76,700
  6. Step 6: Final answer
    x = 184,743.25

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Why These Related Problems?

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