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Finding the Third Proportional to 88,016 and 144,492

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Solution

The third proportional to 88,016 and 144,492 is: 237,206.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,016 : 144,492 = 144,492 : x
  2. Step 2: Convert to fraction form
    88,016/144,492 = 144,492/x
  3. Step 3: Cross multiply
    88,016x = 144,492 × 144,492
  4. Step 4: Simplify right side
    88,016x = 20,877,938,064
  5. Step 5: Solve for x
    x = 20,877,938,064/88,016
  6. Step 6: Final answer
    x = 237,206.17

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.