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Finding the Third Proportional to 62,130 and 134,760

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Solution

The third proportional to 62,130 and 134,760 is: 292,294.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,130 : 134,760 = 134,760 : x
  2. Step 2: Convert to fraction form
    62,130/134,760 = 134,760/x
  3. Step 3: Cross multiply
    62,130x = 134,760 × 134,760
  4. Step 4: Simplify right side
    62,130x = 18,160,257,600
  5. Step 5: Solve for x
    x = 18,160,257,600/62,130
  6. Step 6: Final answer
    x = 292,294.51

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