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Finding the Third Proportional to 67,827.38 and 147,328.13

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Solution

The third proportional to 67,827.38 and 147,328.13 is: 320,012.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,827.38 : 147,328.13 = 147,328.13 : x
  2. Step 2: Convert to fraction form
    67,827.38/147,328.13 = 147,328.13/x
  3. Step 3: Cross multiply
    67,827.38x = 147,328.13 × 147,328.13
  4. Step 4: Simplify right side
    67,827.38x = 21,705,576,416.02
  5. Step 5: Solve for x
    x = 21,705,576,416.02/67,827.38
  6. Step 6: Final answer
    x = 320,012.04

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Why These Related Problems?

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