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Finding the Third Proportional to 53,614 and 78,814

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Solution

The third proportional to 53,614 and 78,814 is: 115,858.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,614 : 78,814 = 78,814 : x
  2. Step 2: Convert to fraction form
    53,614/78,814 = 78,814/x
  3. Step 3: Cross multiply
    53,614x = 78,814 × 78,814
  4. Step 4: Simplify right side
    53,614x = 6,211,646,596
  5. Step 5: Solve for x
    x = 6,211,646,596/53,614
  6. Step 6: Final answer
    x = 115,858.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.