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Finding the Third Proportional to 53,599.50 and 120,856.50

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Solution

The third proportional to 53,599.50 and 120,856.50 is: 272,508.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,599.50 : 120,856.50 = 120,856.50 : x
  2. Step 2: Convert to fraction form
    53,599.50/120,856.50 = 120,856.50/x
  3. Step 3: Cross multiply
    53,599.50x = 120,856.50 × 120,856.50
  4. Step 4: Simplify right side
    53,599.50x = 14,606,293,592.25
  5. Step 5: Solve for x
    x = 14,606,293,592.25/53,599.50
  6. Step 6: Final answer
    x = 272,508.02

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.