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Finding the Third Proportional to 62,064 and 98,322

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Solution

The third proportional to 62,064 and 98,322 is: 155,762.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,064 : 98,322 = 98,322 : x
  2. Step 2: Convert to fraction form
    62,064/98,322 = 98,322/x
  3. Step 3: Cross multiply
    62,064x = 98,322 × 98,322
  4. Step 4: Simplify right side
    62,064x = 9,667,215,684
  5. Step 5: Solve for x
    x = 9,667,215,684/62,064
  6. Step 6: Final answer
    x = 155,762.05

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.