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Finding the Third Proportional to 134,514 and 188,514

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Solution

The third proportional to 134,514 and 188,514 is: 264,192.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,514 : 188,514 = 188,514 : x
  2. Step 2: Convert to fraction form
    134,514/188,514 = 188,514/x
  3. Step 3: Cross multiply
    134,514x = 188,514 × 188,514
  4. Step 4: Simplify right side
    134,514x = 35,537,528,196
  5. Step 5: Solve for x
    x = 35,537,528,196/134,514
  6. Step 6: Final answer
    x = 264,192.04

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.