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Finding the Third Proportional to 85,143 and 128,896.50

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Solution

The third proportional to 85,143 and 128,896.50 is: 195,134.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,143 : 128,896.50 = 128,896.50 : x
  2. Step 2: Convert to fraction form
    85,143/128,896.50 = 128,896.50/x
  3. Step 3: Cross multiply
    85,143x = 128,896.50 × 128,896.50
  4. Step 4: Simplify right side
    85,143x = 16,614,307,712.25
  5. Step 5: Solve for x
    x = 16,614,307,712.25/85,143
  6. Step 6: Final answer
    x = 195,134.16

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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.