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Finding the Third Proportional to 34,277 and 79,428

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Solution

The third proportional to 34,277 and 79,428 is: 184,053.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,277 : 79,428 = 79,428 : x
  2. Step 2: Convert to fraction form
    34,277/79,428 = 79,428/x
  3. Step 3: Cross multiply
    34,277x = 79,428 × 79,428
  4. Step 4: Simplify right side
    34,277x = 6,308,807,184
  5. Step 5: Solve for x
    x = 6,308,807,184/34,277
  6. Step 6: Final answer
    x = 184,053.66

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.