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Finding the Third Proportional to 85,210.50 and 184,527.38

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Solution

The third proportional to 85,210.50 and 184,527.38 is: 399,602.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,210.50 : 184,527.38 = 184,527.38 : x
  2. Step 2: Convert to fraction form
    85,210.50/184,527.38 = 184,527.38/x
  3. Step 3: Cross multiply
    85,210.50x = 184,527.38 × 184,527.38
  4. Step 4: Simplify right side
    85,210.50x = 34,050,352,124.39
  5. Step 5: Solve for x
    x = 34,050,352,124.39/85,210.50
  6. Step 6: Final answer
    x = 399,602.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.