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Finding the Third Proportional to 53,964 and 84,465

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Solution

The third proportional to 53,964 and 84,465 is: 132,205.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,964 : 84,465 = 84,465 : x
  2. Step 2: Convert to fraction form
    53,964/84,465 = 84,465/x
  3. Step 3: Cross multiply
    53,964x = 84,465 × 84,465
  4. Step 4: Simplify right side
    53,964x = 7,134,336,225
  5. Step 5: Solve for x
    x = 7,134,336,225/53,964
  6. Step 6: Final answer
    x = 132,205.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.