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Finding the Third Proportional to 125,773 and 196,316

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Solution

The third proportional to 125,773 and 196,316 is: 306,424.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,773 : 196,316 = 196,316 : x
  2. Step 2: Convert to fraction form
    125,773/196,316 = 196,316/x
  3. Step 3: Cross multiply
    125,773x = 196,316 × 196,316
  4. Step 4: Simplify right side
    125,773x = 38,539,971,856
  5. Step 5: Solve for x
    x = 38,539,971,856/125,773
  6. Step 6: Final answer
    x = 306,424.84

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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.