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Finding the Third Proportional to 84,309 and 112,771.50

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Solution

The third proportional to 84,309 and 112,771.50 is: 150,842.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,309 : 112,771.50 = 112,771.50 : x
  2. Step 2: Convert to fraction form
    84,309/112,771.50 = 112,771.50/x
  3. Step 3: Cross multiply
    84,309x = 112,771.50 × 112,771.50
  4. Step 4: Simplify right side
    84,309x = 12,717,411,212.25
  5. Step 5: Solve for x
    x = 12,717,411,212.25/84,309
  6. Step 6: Final answer
    x = 150,842.87

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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.