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Finding the Third Proportional to 34,209 and 50,130

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Solution

The third proportional to 34,209 and 50,130 is: 73,460.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,209 : 50,130 = 50,130 : x
  2. Step 2: Convert to fraction form
    34,209/50,130 = 50,130/x
  3. Step 3: Cross multiply
    34,209x = 50,130 × 50,130
  4. Step 4: Simplify right side
    34,209x = 2,513,016,900
  5. Step 5: Solve for x
    x = 2,513,016,900/34,209
  6. Step 6: Final answer
    x = 73,460.69

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.