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Finding the Third Proportional to 58,291.88 and 92,692.69

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Solution

The third proportional to 58,291.88 and 92,692.69 is: 147,395.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,291.88 : 92,692.69 = 92,692.69 : x
  2. Step 2: Convert to fraction form
    58,291.88/92,692.69 = 92,692.69/x
  3. Step 3: Cross multiply
    58,291.88x = 92,692.69 × 92,692.69
  4. Step 4: Simplify right side
    58,291.88x = 8,591,934,315.97
  5. Step 5: Solve for x
    x = 8,591,934,315.97/58,291.88
  6. Step 6: Final answer
    x = 147,395.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.