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Finding the Third Proportional to 53,254.69 and 114,813.56

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Solution

The third proportional to 53,254.69 and 114,813.56 is: 247,530.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,254.69 : 114,813.56 = 114,813.56 : x
  2. Step 2: Convert to fraction form
    53,254.69/114,813.56 = 114,813.56/x
  3. Step 3: Cross multiply
    53,254.69x = 114,813.56 × 114,813.56
  4. Step 4: Simplify right side
    53,254.69x = 13,182,154,133.94
  5. Step 5: Solve for x
    x = 13,182,154,133.94/53,254.69
  6. Step 6: Final answer
    x = 247,530.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.