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Finding the Third Proportional to 53,044 and 78,573

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Solution

The third proportional to 53,044 and 78,573 is: 116,388.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,044 : 78,573 = 78,573 : x
  2. Step 2: Convert to fraction form
    53,044/78,573 = 78,573/x
  3. Step 3: Cross multiply
    53,044x = 78,573 × 78,573
  4. Step 4: Simplify right side
    53,044x = 6,173,716,329
  5. Step 5: Solve for x
    x = 6,173,716,329/53,044
  6. Step 6: Final answer
    x = 116,388.59

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.