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Finding the Third Proportional to 56,378.25 and 121,477.50

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Solution

The third proportional to 56,378.25 and 121,477.50 is: 261,746.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,378.25 : 121,477.50 = 121,477.50 : x
  2. Step 2: Convert to fraction form
    56,378.25/121,477.50 = 121,477.50/x
  3. Step 3: Cross multiply
    56,378.25x = 121,477.50 × 121,477.50
  4. Step 4: Simplify right side
    56,378.25x = 14,756,783,006.25
  5. Step 5: Solve for x
    x = 14,756,783,006.25/56,378.25
  6. Step 6: Final answer
    x = 261,746.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.