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Finding the Third Proportional to 62,057 and 98,310

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Solution

The third proportional to 62,057 and 98,310 is: 155,741.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,057 : 98,310 = 98,310 : x
  2. Step 2: Convert to fraction form
    62,057/98,310 = 98,310/x
  3. Step 3: Cross multiply
    62,057x = 98,310 × 98,310
  4. Step 4: Simplify right side
    62,057x = 9,664,856,100
  5. Step 5: Solve for x
    x = 9,664,856,100/62,057
  6. Step 6: Final answer
    x = 155,741.59

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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.