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Finding the Third Proportional to 34,136 and 79,076

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Solution

The third proportional to 34,136 and 79,076 is: 183,179.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,136 : 79,076 = 79,076 : x
  2. Step 2: Convert to fraction form
    34,136/79,076 = 79,076/x
  3. Step 3: Cross multiply
    34,136x = 79,076 × 79,076
  4. Step 4: Simplify right side
    34,136x = 6,253,013,776
  5. Step 5: Solve for x
    x = 6,253,013,776/34,136
  6. Step 6: Final answer
    x = 183,179.45

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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.