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Finding the Third Proportional to 53,492 and 117,130

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Solution

The third proportional to 53,492 and 117,130 is: 256,476.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,492 : 117,130 = 117,130 : x
  2. Step 2: Convert to fraction form
    53,492/117,130 = 117,130/x
  3. Step 3: Cross multiply
    53,492x = 117,130 × 117,130
  4. Step 4: Simplify right side
    53,492x = 13,719,436,900
  5. Step 5: Solve for x
    x = 13,719,436,900/53,492
  6. Step 6: Final answer
    x = 256,476.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.