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Finding the Third Proportional to 85,347 and 129,199.50

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Solution

The third proportional to 85,347 and 129,199.50 is: 195,584.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,347 : 129,199.50 = 129,199.50 : x
  2. Step 2: Convert to fraction form
    85,347/129,199.50 = 129,199.50/x
  3. Step 3: Cross multiply
    85,347x = 129,199.50 × 129,199.50
  4. Step 4: Simplify right side
    85,347x = 16,692,510,800.25
  5. Step 5: Solve for x
    x = 16,692,510,800.25/85,347
  6. Step 6: Final answer
    x = 195,584.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.