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Finding the Third Proportional to 94,248 and 144,392

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Solution

The third proportional to 94,248 and 144,392 is: 221,214.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,248 : 144,392 = 144,392 : x
  2. Step 2: Convert to fraction form
    94,248/144,392 = 144,392/x
  3. Step 3: Cross multiply
    94,248x = 144,392 × 144,392
  4. Step 4: Simplify right side
    94,248x = 20,849,049,664
  5. Step 5: Solve for x
    x = 20,849,049,664/94,248
  6. Step 6: Final answer
    x = 221,214.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.