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Finding the Third Proportional to 115,971 and 254,082

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Solution

The third proportional to 115,971 and 254,082 is: 556,670.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,971 : 254,082 = 254,082 : x
  2. Step 2: Convert to fraction form
    115,971/254,082 = 254,082/x
  3. Step 3: Cross multiply
    115,971x = 254,082 × 254,082
  4. Step 4: Simplify right side
    115,971x = 64,557,662,724
  5. Step 5: Solve for x
    x = 64,557,662,724/115,971
  6. Step 6: Final answer
    x = 556,670.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.