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Finding the Third Proportional to 53,885.25 and 115,875.56

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Solution

The third proportional to 53,885.25 and 115,875.56 is: 249,180.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,885.25 : 115,875.56 = 115,875.56 : x
  2. Step 2: Convert to fraction form
    53,885.25/115,875.56 = 115,875.56/x
  3. Step 3: Cross multiply
    53,885.25x = 115,875.56 × 115,875.56
  4. Step 4: Simplify right side
    53,885.25x = 13,427,145,984.69
  5. Step 5: Solve for x
    x = 13,427,145,984.69/53,885.25
  6. Step 6: Final answer
    x = 249,180.36

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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.