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Finding the Third Proportional to 53,872 and 110,428

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Solution

The third proportional to 53,872 and 110,428 is: 226,357.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,872 : 110,428 = 110,428 : x
  2. Step 2: Convert to fraction form
    53,872/110,428 = 110,428/x
  3. Step 3: Cross multiply
    53,872x = 110,428 × 110,428
  4. Step 4: Simplify right side
    53,872x = 12,194,343,184
  5. Step 5: Solve for x
    x = 12,194,343,184/53,872
  6. Step 6: Final answer
    x = 226,357.72

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.