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Finding the Third Proportional to 109,492 and 236,076

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Solution

The third proportional to 109,492 and 236,076 is: 509,004.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,492 : 236,076 = 236,076 : x
  2. Step 2: Convert to fraction form
    109,492/236,076 = 236,076/x
  3. Step 3: Cross multiply
    109,492x = 236,076 × 236,076
  4. Step 4: Simplify right side
    109,492x = 55,731,877,776
  5. Step 5: Solve for x
    x = 55,731,877,776/109,492
  6. Step 6: Final answer
    x = 509,004.11

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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.