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Finding the Third Proportional to 67,490.40 and 147,692.74

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Solution

The third proportional to 67,490.40 and 147,692.74 is: 323,203.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,490.40 : 147,692.74 = 147,692.74 : x
  2. Step 2: Convert to fraction form
    67,490.40/147,692.74 = 147,692.74/x
  3. Step 3: Cross multiply
    67,490.40x = 147,692.74 × 147,692.74
  4. Step 4: Simplify right side
    67,490.40x = 21,813,146,094.86
  5. Step 5: Solve for x
    x = 21,813,146,094.86/67,490.40
  6. Step 6: Final answer
    x = 323,203.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.