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Finding the Third Proportional to 125,191 and 265,281

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Solution

The third proportional to 125,191 and 265,281 is: 562,133.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,191 : 265,281 = 265,281 : x
  2. Step 2: Convert to fraction form
    125,191/265,281 = 265,281/x
  3. Step 3: Cross multiply
    125,191x = 265,281 × 265,281
  4. Step 4: Simplify right side
    125,191x = 70,374,008,961
  5. Step 5: Solve for x
    x = 70,374,008,961/125,191
  6. Step 6: Final answer
    x = 562,133.13

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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.