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Finding the Third Proportional to 67,809.75 and 147,298.50

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Solution

The third proportional to 67,809.75 and 147,298.50 is: 319,966.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,809.75 : 147,298.50 = 147,298.50 : x
  2. Step 2: Convert to fraction form
    67,809.75/147,298.50 = 147,298.50/x
  3. Step 3: Cross multiply
    67,809.75x = 147,298.50 × 147,298.50
  4. Step 4: Simplify right side
    67,809.75x = 21,696,848,102.25
  5. Step 5: Solve for x
    x = 21,696,848,102.25/67,809.75
  6. Step 6: Final answer
    x = 319,966.50

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.