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Finding the Third Proportional to 60,114 and 128,566

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Solution

The third proportional to 60,114 and 128,566 is: 274,964.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,114 : 128,566 = 128,566 : x
  2. Step 2: Convert to fraction form
    60,114/128,566 = 128,566/x
  3. Step 3: Cross multiply
    60,114x = 128,566 × 128,566
  4. Step 4: Simplify right side
    60,114x = 16,529,216,356
  5. Step 5: Solve for x
    x = 16,529,216,356/60,114
  6. Step 6: Final answer
    x = 274,964.51

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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.