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Finding the Third Proportional to 125,322 and 191,952

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Solution

The third proportional to 125,322 and 191,952 is: 294,007.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,322 : 191,952 = 191,952 : x
  2. Step 2: Convert to fraction form
    125,322/191,952 = 191,952/x
  3. Step 3: Cross multiply
    125,322x = 191,952 × 191,952
  4. Step 4: Simplify right side
    125,322x = 36,845,570,304
  5. Step 5: Solve for x
    x = 36,845,570,304/125,322
  6. Step 6: Final answer
    x = 294,007.20

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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.