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Finding the Third Proportional to 55,784 and 85,458

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Solution

The third proportional to 55,784 and 85,458 is: 130,916.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,784 : 85,458 = 85,458 : x
  2. Step 2: Convert to fraction form
    55,784/85,458 = 85,458/x
  3. Step 3: Cross multiply
    55,784x = 85,458 × 85,458
  4. Step 4: Simplify right side
    55,784x = 7,303,069,764
  5. Step 5: Solve for x
    x = 7,303,069,764/55,784
  6. Step 6: Final answer
    x = 130,916.93

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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.