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Finding the Third Proportional to 35,419 and 77,277

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Solution

The third proportional to 35,419 and 77,277 is: 168,602.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,419 : 77,277 = 77,277 : x
  2. Step 2: Convert to fraction form
    35,419/77,277 = 77,277/x
  3. Step 3: Cross multiply
    35,419x = 77,277 × 77,277
  4. Step 4: Simplify right side
    35,419x = 5,971,734,729
  5. Step 5: Solve for x
    x = 5,971,734,729/35,419
  6. Step 6: Final answer
    x = 168,602.58

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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.