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Finding the Third Proportional to 125,334 and 186,462

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Solution

The third proportional to 125,334 and 186,462 is: 277,403.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,334 : 186,462 = 186,462 : x
  2. Step 2: Convert to fraction form
    125,334/186,462 = 186,462/x
  3. Step 3: Cross multiply
    125,334x = 186,462 × 186,462
  4. Step 4: Simplify right side
    125,334x = 34,768,077,444
  5. Step 5: Solve for x
    x = 34,768,077,444/125,334
  6. Step 6: Final answer
    x = 277,403.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.