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Finding the Third Proportional to 60,544 and 129,428

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Solution

The third proportional to 60,544 and 129,428 is: 276,684.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,544 : 129,428 = 129,428 : x
  2. Step 2: Convert to fraction form
    60,544/129,428 = 129,428/x
  3. Step 3: Cross multiply
    60,544x = 129,428 × 129,428
  4. Step 4: Simplify right side
    60,544x = 16,751,607,184
  5. Step 5: Solve for x
    x = 16,751,607,184/60,544
  6. Step 6: Final answer
    x = 276,684.84

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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.