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Finding the Third Proportional to 114,111.28 and 175,016.95

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Solution

The third proportional to 114,111.28 and 175,016.95 is: 268,430.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,111.28 : 175,016.95 = 175,016.95 : x
  2. Step 2: Convert to fraction form
    114,111.28/175,016.95 = 175,016.95/x
  3. Step 3: Cross multiply
    114,111.28x = 175,016.95 × 175,016.95
  4. Step 4: Simplify right side
    114,111.28x = 30,630,933,881.16
  5. Step 5: Solve for x
    x = 30,630,933,881.16/114,111.28
  6. Step 6: Final answer
    x = 268,430.37

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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.