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Finding the Third Proportional to 53,023 and 115,376

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Solution

The third proportional to 53,023 and 115,376 is: 251,053.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,023 : 115,376 = 115,376 : x
  2. Step 2: Convert to fraction form
    53,023/115,376 = 115,376/x
  3. Step 3: Cross multiply
    53,023x = 115,376 × 115,376
  4. Step 4: Simplify right side
    53,023x = 13,311,621,376
  5. Step 5: Solve for x
    x = 13,311,621,376/53,023
  6. Step 6: Final answer
    x = 251,053.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.