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Finding the Third Proportional to 60,112 and 130,673

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Solution

The third proportional to 60,112 and 130,673 is: 284,060.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,112 : 130,673 = 130,673 : x
  2. Step 2: Convert to fraction form
    60,112/130,673 = 130,673/x
  3. Step 3: Cross multiply
    60,112x = 130,673 × 130,673
  4. Step 4: Simplify right side
    60,112x = 17,075,432,929
  5. Step 5: Solve for x
    x = 17,075,432,929/60,112
  6. Step 6: Final answer
    x = 284,060.30

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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.