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Finding the Third Proportional to 85,392 and 128,362.50

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Solution

The third proportional to 85,392 and 128,362.50 is: 192,956.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,392 : 128,362.50 = 128,362.50 : x
  2. Step 2: Convert to fraction form
    85,392/128,362.50 = 128,362.50/x
  3. Step 3: Cross multiply
    85,392x = 128,362.50 × 128,362.50
  4. Step 4: Simplify right side
    85,392x = 16,476,931,406.25
  5. Step 5: Solve for x
    x = 16,476,931,406.25/85,392
  6. Step 6: Final answer
    x = 192,956.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.