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Finding the Third Proportional to 60,042 and 130,020

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Solution

The third proportional to 60,042 and 130,020 is: 281,556.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,042 : 130,020 = 130,020 : x
  2. Step 2: Convert to fraction form
    60,042/130,020 = 130,020/x
  3. Step 3: Cross multiply
    60,042x = 130,020 × 130,020
  4. Step 4: Simplify right side
    60,042x = 16,905,200,400
  5. Step 5: Solve for x
    x = 16,905,200,400/60,042
  6. Step 6: Final answer
    x = 281,556.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.