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Finding the Third Proportional to 60,017 and 130,834

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Solution

The third proportional to 60,017 and 130,834 is: 285,211.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,017 : 130,834 = 130,834 : x
  2. Step 2: Convert to fraction form
    60,017/130,834 = 130,834/x
  3. Step 3: Cross multiply
    60,017x = 130,834 × 130,834
  4. Step 4: Simplify right side
    60,017x = 17,117,535,556
  5. Step 5: Solve for x
    x = 17,117,535,556/60,017
  6. Step 6: Final answer
    x = 285,211.45

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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.