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Finding the Third Proportional to 58,683 and 128,119

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Solution

The third proportional to 58,683 and 128,119 is: 279,714.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,683 : 128,119 = 128,119 : x
  2. Step 2: Convert to fraction form
    58,683/128,119 = 128,119/x
  3. Step 3: Cross multiply
    58,683x = 128,119 × 128,119
  4. Step 4: Simplify right side
    58,683x = 16,414,478,161
  5. Step 5: Solve for x
    x = 16,414,478,161/58,683
  6. Step 6: Final answer
    x = 279,714.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.