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Finding the Third Proportional to 125,034 and 270,018

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Solution

The third proportional to 125,034 and 270,018 is: 583,119.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,034 : 270,018 = 270,018 : x
  2. Step 2: Convert to fraction form
    125,034/270,018 = 270,018/x
  3. Step 3: Cross multiply
    125,034x = 270,018 × 270,018
  4. Step 4: Simplify right side
    125,034x = 72,909,720,324
  5. Step 5: Solve for x
    x = 72,909,720,324/125,034
  6. Step 6: Final answer
    x = 583,119.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.