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Finding the Third Proportional to 60,051 and 130,672

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Solution

The third proportional to 60,051 and 130,672 is: 284,344.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,051 : 130,672 = 130,672 : x
  2. Step 2: Convert to fraction form
    60,051/130,672 = 130,672/x
  3. Step 3: Cross multiply
    60,051x = 130,672 × 130,672
  4. Step 4: Simplify right side
    60,051x = 17,075,171,584
  5. Step 5: Solve for x
    x = 17,075,171,584/60,051
  6. Step 6: Final answer
    x = 284,344.50

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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.