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Finding the Third Proportional to 56,448 and 121,088

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Solution

The third proportional to 56,448 and 121,088 is: 259,748.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,448 : 121,088 = 121,088 : x
  2. Step 2: Convert to fraction form
    56,448/121,088 = 121,088/x
  3. Step 3: Cross multiply
    56,448x = 121,088 × 121,088
  4. Step 4: Simplify right side
    56,448x = 14,662,303,744
  5. Step 5: Solve for x
    x = 14,662,303,744/56,448
  6. Step 6: Final answer
    x = 259,748.86

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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.