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Finding the Third Proportional to 125,332 and 191,968

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Solution

The third proportional to 125,332 and 191,968 is: 294,032.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,332 : 191,968 = 191,968 : x
  2. Step 2: Convert to fraction form
    125,332/191,968 = 191,968/x
  3. Step 3: Cross multiply
    125,332x = 191,968 × 191,968
  4. Step 4: Simplify right side
    125,332x = 36,851,713,024
  5. Step 5: Solve for x
    x = 36,851,713,024/125,332
  6. Step 6: Final answer
    x = 294,032.75

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