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Finding the Third Proportional to 74,692.50 and 163,371

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Solution

The third proportional to 74,692.50 and 163,371 is: 357,332.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,692.50 : 163,371 = 163,371 : x
  2. Step 2: Convert to fraction form
    74,692.50/163,371 = 163,371/x
  3. Step 3: Cross multiply
    74,692.50x = 163,371 × 163,371
  4. Step 4: Simplify right side
    74,692.50x = 26,690,083,641
  5. Step 5: Solve for x
    x = 26,690,083,641/74,692.50
  6. Step 6: Final answer
    x = 357,332.85

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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.