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Finding the Third Proportional to 56,496.42 and 121,641.25

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Solution

The third proportional to 56,496.42 and 121,641.25 is: 261,903.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,496.42 : 121,641.25 = 121,641.25 : x
  2. Step 2: Convert to fraction form
    56,496.42/121,641.25 = 121,641.25/x
  3. Step 3: Cross multiply
    56,496.42x = 121,641.25 × 121,641.25
  4. Step 4: Simplify right side
    56,496.42x = 14,796,592,812.49
  5. Step 5: Solve for x
    x = 14,796,592,812.49/56,496.42
  6. Step 6: Final answer
    x = 261,903.19

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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.