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Finding the Third Proportional to 124,278 and 265,971

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Solution

The third proportional to 124,278 and 265,971 is: 569,212.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,278 : 265,971 = 265,971 : x
  2. Step 2: Convert to fraction form
    124,278/265,971 = 265,971/x
  3. Step 3: Cross multiply
    124,278x = 265,971 × 265,971
  4. Step 4: Simplify right side
    124,278x = 70,740,572,841
  5. Step 5: Solve for x
    x = 70,740,572,841/124,278
  6. Step 6: Final answer
    x = 569,212.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.