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Finding the Third Proportional to 60,666 and 130,114

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Solution

The third proportional to 60,666 and 130,114 is: 279,063.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,666 : 130,114 = 130,114 : x
  2. Step 2: Convert to fraction form
    60,666/130,114 = 130,114/x
  3. Step 3: Cross multiply
    60,666x = 130,114 × 130,114
  4. Step 4: Simplify right side
    60,666x = 16,929,652,996
  5. Step 5: Solve for x
    x = 16,929,652,996/60,666
  6. Step 6: Final answer
    x = 279,063.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.