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Finding the Third Proportional to 137,664 and 201,514

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Solution

The third proportional to 137,664 and 201,514 is: 294,978.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,664 : 201,514 = 201,514 : x
  2. Step 2: Convert to fraction form
    137,664/201,514 = 201,514/x
  3. Step 3: Cross multiply
    137,664x = 201,514 × 201,514
  4. Step 4: Simplify right side
    137,664x = 40,607,892,196
  5. Step 5: Solve for x
    x = 40,607,892,196/137,664
  6. Step 6: Final answer
    x = 294,978.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.