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Finding the Third Proportional to 68,248.88 and 147,675.75

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Solution

The third proportional to 68,248.88 and 147,675.75 is: 319,538.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,248.88 : 147,675.75 = 147,675.75 : x
  2. Step 2: Convert to fraction form
    68,248.88/147,675.75 = 147,675.75/x
  3. Step 3: Cross multiply
    68,248.88x = 147,675.75 × 147,675.75
  4. Step 4: Simplify right side
    68,248.88x = 21,808,127,138.06
  5. Step 5: Solve for x
    x = 21,808,127,138.06/68,248.88
  6. Step 6: Final answer
    x = 319,538.27

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.