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Finding the Third Proportional to 123,808.50 and 193,124.25

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Solution

The third proportional to 123,808.50 and 193,124.25 is: 301,247.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,808.50 : 193,124.25 = 193,124.25 : x
  2. Step 2: Convert to fraction form
    123,808.50/193,124.25 = 193,124.25/x
  3. Step 3: Cross multiply
    123,808.50x = 193,124.25 × 193,124.25
  4. Step 4: Simplify right side
    123,808.50x = 37,296,975,938.06
  5. Step 5: Solve for x
    x = 37,296,975,938.06/123,808.50
  6. Step 6: Final answer
    x = 301,247.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.