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Finding the Third Proportional to 60,113 and 130,675

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Solution

The third proportional to 60,113 and 130,675 is: 284,064.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,113 : 130,675 = 130,675 : x
  2. Step 2: Convert to fraction form
    60,113/130,675 = 130,675/x
  3. Step 3: Cross multiply
    60,113x = 130,675 × 130,675
  4. Step 4: Simplify right side
    60,113x = 17,075,955,625
  5. Step 5: Solve for x
    x = 17,075,955,625/60,113
  6. Step 6: Final answer
    x = 284,064.27

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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.