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Finding the Third Proportional to 122,159 and 265,207

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Solution

The third proportional to 122,159 and 265,207 is: 575,763.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,159 : 265,207 = 265,207 : x
  2. Step 2: Convert to fraction form
    122,159/265,207 = 265,207/x
  3. Step 3: Cross multiply
    122,159x = 265,207 × 265,207
  4. Step 4: Simplify right side
    122,159x = 70,334,752,849
  5. Step 5: Solve for x
    x = 70,334,752,849/122,159
  6. Step 6: Final answer
    x = 575,763.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.