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Finding the Third Proportional to 53,514 and 117,178

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Solution

The third proportional to 53,514 and 117,178 is: 256,581.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,514 : 117,178 = 117,178 : x
  2. Step 2: Convert to fraction form
    53,514/117,178 = 117,178/x
  3. Step 3: Cross multiply
    53,514x = 117,178 × 117,178
  4. Step 4: Simplify right side
    53,514x = 13,730,683,684
  5. Step 5: Solve for x
    x = 13,730,683,684/53,514
  6. Step 6: Final answer
    x = 256,581.15

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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.