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Finding the Third Proportional to 93,611 and 127,031

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Solution

The third proportional to 93,611 and 127,031 is: 172,382.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,611 : 127,031 = 127,031 : x
  2. Step 2: Convert to fraction form
    93,611/127,031 = 127,031/x
  3. Step 3: Cross multiply
    93,611x = 127,031 × 127,031
  4. Step 4: Simplify right side
    93,611x = 16,136,874,961
  5. Step 5: Solve for x
    x = 16,136,874,961/93,611
  6. Step 6: Final answer
    x = 172,382.25

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.