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Finding the Third Proportional to 63,192 and 136,518

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Solution

The third proportional to 63,192 and 136,518 is: 294,929.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,192 : 136,518 = 136,518 : x
  2. Step 2: Convert to fraction form
    63,192/136,518 = 136,518/x
  3. Step 3: Cross multiply
    63,192x = 136,518 × 136,518
  4. Step 4: Simplify right side
    63,192x = 18,637,164,324
  5. Step 5: Solve for x
    x = 18,637,164,324/63,192
  6. Step 6: Final answer
    x = 294,929.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.