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Finding the Third Proportional to 124,173 and 263,139

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Solution

The third proportional to 124,173 and 263,139 is: 557,626.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,173 : 263,139 = 263,139 : x
  2. Step 2: Convert to fraction form
    124,173/263,139 = 263,139/x
  3. Step 3: Cross multiply
    124,173x = 263,139 × 263,139
  4. Step 4: Simplify right side
    124,173x = 69,242,133,321
  5. Step 5: Solve for x
    x = 69,242,133,321/124,173
  6. Step 6: Final answer
    x = 557,626.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.