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Finding the Third Proportional to 128,752 and 269,264

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Solution

The third proportional to 128,752 and 269,264 is: 563,122.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,752 : 269,264 = 269,264 : x
  2. Step 2: Convert to fraction form
    128,752/269,264 = 269,264/x
  3. Step 3: Cross multiply
    128,752x = 269,264 × 269,264
  4. Step 4: Simplify right side
    128,752x = 72,503,101,696
  5. Step 5: Solve for x
    x = 72,503,101,696/128,752
  6. Step 6: Final answer
    x = 563,122.14

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.