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Finding the Third Proportional to 53,672.63 and 81,921.38

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Solution

The third proportional to 53,672.63 and 81,921.38 is: 125,037.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,672.63 : 81,921.38 = 81,921.38 : x
  2. Step 2: Convert to fraction form
    53,672.63/81,921.38 = 81,921.38/x
  3. Step 3: Cross multiply
    53,672.63x = 81,921.38 × 81,921.38
  4. Step 4: Simplify right side
    53,672.63x = 6,711,111,681.89
  5. Step 5: Solve for x
    x = 6,711,111,681.89/53,672.63
  6. Step 6: Final answer
    x = 125,037.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.