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Finding the Third Proportional to 60,176 and 130,392

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Solution

The third proportional to 60,176 and 130,392 is: 282,539.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,176 : 130,392 = 130,392 : x
  2. Step 2: Convert to fraction form
    60,176/130,392 = 130,392/x
  3. Step 3: Cross multiply
    60,176x = 130,392 × 130,392
  4. Step 4: Simplify right side
    60,176x = 17,002,073,664
  5. Step 5: Solve for x
    x = 17,002,073,664/60,176
  6. Step 6: Final answer
    x = 282,539.11

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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.