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Finding the Third Proportional to 53,574.56 and 114,530.13

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Solution

The third proportional to 53,574.56 and 114,530.13 is: 244,839.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,574.56 : 114,530.13 = 114,530.13 : x
  2. Step 2: Convert to fraction form
    53,574.56/114,530.13 = 114,530.13/x
  3. Step 3: Cross multiply
    53,574.56x = 114,530.13 × 114,530.13
  4. Step 4: Simplify right side
    53,574.56x = 13,117,149,532.52
  5. Step 5: Solve for x
    x = 13,117,149,532.52/53,574.56
  6. Step 6: Final answer
    x = 244,839.13

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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.