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Finding the Third Proportional to 124,038 and 166,833

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Solution

The third proportional to 124,038 and 166,833 is: 224,392.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,038 : 166,833 = 166,833 : x
  2. Step 2: Convert to fraction form
    124,038/166,833 = 166,833/x
  3. Step 3: Cross multiply
    124,038x = 166,833 × 166,833
  4. Step 4: Simplify right side
    124,038x = 27,833,249,889
  5. Step 5: Solve for x
    x = 27,833,249,889/124,038
  6. Step 6: Final answer
    x = 224,392.93

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.