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Finding the Third Proportional to 62,047 and 134,590

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Solution

The third proportional to 62,047 and 134,590 is: 291,947.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,047 : 134,590 = 134,590 : x
  2. Step 2: Convert to fraction form
    62,047/134,590 = 134,590/x
  3. Step 3: Cross multiply
    62,047x = 134,590 × 134,590
  4. Step 4: Simplify right side
    62,047x = 18,114,468,100
  5. Step 5: Solve for x
    x = 18,114,468,100/62,047
  6. Step 6: Final answer
    x = 291,947.53

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Why These Related Problems?

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