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Finding the Third Proportional to 60,014 and 130,829

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Solution

The third proportional to 60,014 and 130,829 is: 285,203.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,014 : 130,829 = 130,829 : x
  2. Step 2: Convert to fraction form
    60,014/130,829 = 130,829/x
  3. Step 3: Cross multiply
    60,014x = 130,829 × 130,829
  4. Step 4: Simplify right side
    60,014x = 17,116,227,241
  5. Step 5: Solve for x
    x = 17,116,227,241/60,014
  6. Step 6: Final answer
    x = 285,203.91

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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.