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Finding the Third Proportional to 125,164 and 193,688

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Solution

The third proportional to 125,164 and 193,688 is: 299,727.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,164 : 193,688 = 193,688 : x
  2. Step 2: Convert to fraction form
    125,164/193,688 = 193,688/x
  3. Step 3: Cross multiply
    125,164x = 193,688 × 193,688
  4. Step 4: Simplify right side
    125,164x = 37,515,041,344
  5. Step 5: Solve for x
    x = 37,515,041,344/125,164
  6. Step 6: Final answer
    x = 299,727.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.