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Finding the Third Proportional to 82,210 and 123,090

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Solution

The third proportional to 82,210 and 123,090 is: 184,298.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,210 : 123,090 = 123,090 : x
  2. Step 2: Convert to fraction form
    82,210/123,090 = 123,090/x
  3. Step 3: Cross multiply
    82,210x = 123,090 × 123,090
  4. Step 4: Simplify right side
    82,210x = 15,151,148,100
  5. Step 5: Solve for x
    x = 15,151,148,100/82,210
  6. Step 6: Final answer
    x = 184,298.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.