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Finding the Third Proportional to 125,316 and 191,943

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Solution

The third proportional to 125,316 and 191,943 is: 293,993.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,316 : 191,943 = 191,943 : x
  2. Step 2: Convert to fraction form
    125,316/191,943 = 191,943/x
  3. Step 3: Cross multiply
    125,316x = 191,943 × 191,943
  4. Step 4: Simplify right side
    125,316x = 36,842,115,249
  5. Step 5: Solve for x
    x = 36,842,115,249/125,316
  6. Step 6: Final answer
    x = 293,993.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.