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Finding the Third Proportional to 34,013 and 79,070

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Solution

The third proportional to 34,013 and 79,070 is: 183,813.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,013 : 79,070 = 79,070 : x
  2. Step 2: Convert to fraction form
    34,013/79,070 = 79,070/x
  3. Step 3: Cross multiply
    34,013x = 79,070 × 79,070
  4. Step 4: Simplify right side
    34,013x = 6,252,064,900
  5. Step 5: Solve for x
    x = 6,252,064,900/34,013
  6. Step 6: Final answer
    x = 183,813.98

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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.