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Finding the Third Proportional to 67,336.31 and 102,465

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Solution

The third proportional to 67,336.31 and 102,465 is: 155,919.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,336.31 : 102,465 = 102,465 : x
  2. Step 2: Convert to fraction form
    67,336.31/102,465 = 102,465/x
  3. Step 3: Cross multiply
    67,336.31x = 102,465 × 102,465
  4. Step 4: Simplify right side
    67,336.31x = 10,499,076,225
  5. Step 5: Solve for x
    x = 10,499,076,225/67,336.31
  6. Step 6: Final answer
    x = 155,919.98

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.