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Finding the Third Proportional to 53,478.84 and 114,549.61

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Solution

The third proportional to 53,478.84 and 114,549.61 is: 245,360.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,478.84 : 114,549.61 = 114,549.61 : x
  2. Step 2: Convert to fraction form
    53,478.84/114,549.61 = 114,549.61/x
  3. Step 3: Cross multiply
    53,478.84x = 114,549.61 × 114,549.61
  4. Step 4: Simplify right side
    53,478.84x = 13,121,613,007.97
  5. Step 5: Solve for x
    x = 13,121,613,007.97/53,478.84
  6. Step 6: Final answer
    x = 245,360.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.