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Finding the Third Proportional to 58,030 and 126,994

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Solution

The third proportional to 58,030 and 126,994 is: 277,916.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,030 : 126,994 = 126,994 : x
  2. Step 2: Convert to fraction form
    58,030/126,994 = 126,994/x
  3. Step 3: Cross multiply
    58,030x = 126,994 × 126,994
  4. Step 4: Simplify right side
    58,030x = 16,127,476,036
  5. Step 5: Solve for x
    x = 16,127,476,036/58,030
  6. Step 6: Final answer
    x = 277,916.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.