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Finding the Third Proportional to 52,890 and 114,488

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Solution

The third proportional to 52,890 and 114,488 is: 247,825.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,890 : 114,488 = 114,488 : x
  2. Step 2: Convert to fraction form
    52,890/114,488 = 114,488/x
  3. Step 3: Cross multiply
    52,890x = 114,488 × 114,488
  4. Step 4: Simplify right side
    52,890x = 13,107,502,144
  5. Step 5: Solve for x
    x = 13,107,502,144/52,890
  6. Step 6: Final answer
    x = 247,825.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.