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Finding the Third Proportional to 58,958 and 83,345

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Solution

The third proportional to 58,958 and 83,345 is: 117,819.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,958 : 83,345 = 83,345 : x
  2. Step 2: Convert to fraction form
    58,958/83,345 = 83,345/x
  3. Step 3: Cross multiply
    58,958x = 83,345 × 83,345
  4. Step 4: Simplify right side
    58,958x = 6,946,389,025
  5. Step 5: Solve for x
    x = 6,946,389,025/58,958
  6. Step 6: Final answer
    x = 117,819.28

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.