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Finding the Third Proportional to 67,982 and 147,263.50

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Solution

The third proportional to 67,982 and 147,263.50 is: 319,004.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,982 : 147,263.50 = 147,263.50 : x
  2. Step 2: Convert to fraction form
    67,982/147,263.50 = 147,263.50/x
  3. Step 3: Cross multiply
    67,982x = 147,263.50 × 147,263.50
  4. Step 4: Simplify right side
    67,982x = 21,686,538,432.25
  5. Step 5: Solve for x
    x = 21,686,538,432.25/67,982
  6. Step 6: Final answer
    x = 319,004.13

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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.