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Finding the Third Proportional to 53,981 and 118,590

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Solution

The third proportional to 53,981 and 118,590 is: 260,528.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,981 : 118,590 = 118,590 : x
  2. Step 2: Convert to fraction form
    53,981/118,590 = 118,590/x
  3. Step 3: Cross multiply
    53,981x = 118,590 × 118,590
  4. Step 4: Simplify right side
    53,981x = 14,063,588,100
  5. Step 5: Solve for x
    x = 14,063,588,100/53,981
  6. Step 6: Final answer
    x = 260,528.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.