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Finding the Third Proportional to 130,734 and 202,014

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Solution

The third proportional to 130,734 and 202,014 is: 312,157.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,734 : 202,014 = 202,014 : x
  2. Step 2: Convert to fraction form
    130,734/202,014 = 202,014/x
  3. Step 3: Cross multiply
    130,734x = 202,014 × 202,014
  4. Step 4: Simplify right side
    130,734x = 40,809,656,196
  5. Step 5: Solve for x
    x = 40,809,656,196/130,734
  6. Step 6: Final answer
    x = 312,157.94

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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.