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Finding the Third Proportional to 109,542 and 236,572

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Solution

The third proportional to 109,542 and 236,572 is: 510,911.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,542 : 236,572 = 236,572 : x
  2. Step 2: Convert to fraction form
    109,542/236,572 = 236,572/x
  3. Step 3: Cross multiply
    109,542x = 236,572 × 236,572
  4. Step 4: Simplify right side
    109,542x = 55,966,311,184
  5. Step 5: Solve for x
    x = 55,966,311,184/109,542
  6. Step 6: Final answer
    x = 510,911.90

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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.