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Finding the Third Proportional to 62,413 and 134,666

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Solution

The third proportional to 62,413 and 134,666 is: 290,563.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,413 : 134,666 = 134,666 : x
  2. Step 2: Convert to fraction form
    62,413/134,666 = 134,666/x
  3. Step 3: Cross multiply
    62,413x = 134,666 × 134,666
  4. Step 4: Simplify right side
    62,413x = 18,134,931,556
  5. Step 5: Solve for x
    x = 18,134,931,556/62,413
  6. Step 6: Final answer
    x = 290,563.37

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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.