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Finding the Third Proportional to 56,678.75 and 123,719

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Solution

The third proportional to 56,678.75 and 123,719 is: 270,055.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,678.75 : 123,719 = 123,719 : x
  2. Step 2: Convert to fraction form
    56,678.75/123,719 = 123,719/x
  3. Step 3: Cross multiply
    56,678.75x = 123,719 × 123,719
  4. Step 4: Simplify right side
    56,678.75x = 15,306,390,961
  5. Step 5: Solve for x
    x = 15,306,390,961/56,678.75
  6. Step 6: Final answer
    x = 270,055.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.