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Finding the Third Proportional to 50,030 and 105,688

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Solution

The third proportional to 50,030 and 105,688 is: 223,265.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,030 : 105,688 = 105,688 : x
  2. Step 2: Convert to fraction form
    50,030/105,688 = 105,688/x
  3. Step 3: Cross multiply
    50,030x = 105,688 × 105,688
  4. Step 4: Simplify right side
    50,030x = 11,169,953,344
  5. Step 5: Solve for x
    x = 11,169,953,344/50,030
  6. Step 6: Final answer
    x = 223,265.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.