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Finding the Third Proportional to 62,362 and 134,700

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Solution

The third proportional to 62,362 and 134,700 is: 290,947.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,362 : 134,700 = 134,700 : x
  2. Step 2: Convert to fraction form
    62,362/134,700 = 134,700/x
  3. Step 3: Cross multiply
    62,362x = 134,700 × 134,700
  4. Step 4: Simplify right side
    62,362x = 18,144,090,000
  5. Step 5: Solve for x
    x = 18,144,090,000/62,362
  6. Step 6: Final answer
    x = 290,947.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.