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Finding the Third Proportional to 56,089.56 and 83,253.66

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Solution

The third proportional to 56,089.56 and 83,253.66 is: 123,573.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,089.56 : 83,253.66 = 83,253.66 : x
  2. Step 2: Convert to fraction form
    56,089.56/83,253.66 = 83,253.66/x
  3. Step 3: Cross multiply
    56,089.56x = 83,253.66 × 83,253.66
  4. Step 4: Simplify right side
    56,089.56x = 6,931,171,278.99
  5. Step 5: Solve for x
    x = 6,931,171,278.99/56,089.56
  6. Step 6: Final answer
    x = 123,573.28

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.