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Finding the Third Proportional to 84,316 and 112,782

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Solution

The third proportional to 84,316 and 112,782 is: 150,858.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,316 : 112,782 = 112,782 : x
  2. Step 2: Convert to fraction form
    84,316/112,782 = 112,782/x
  3. Step 3: Cross multiply
    84,316x = 112,782 × 112,782
  4. Step 4: Simplify right side
    84,316x = 12,719,779,524
  5. Step 5: Solve for x
    x = 12,719,779,524/84,316
  6. Step 6: Final answer
    x = 150,858.43

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.