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Finding the Third Proportional to 57,056.63 and 85,595.63

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Solution

The third proportional to 57,056.63 and 85,595.63 is: 128,409.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,056.63 : 85,595.63 = 85,595.63 : x
  2. Step 2: Convert to fraction form
    57,056.63/85,595.63 = 85,595.63/x
  3. Step 3: Cross multiply
    57,056.63x = 85,595.63 × 85,595.63
  4. Step 4: Simplify right side
    57,056.63x = 7,326,611,019.14
  5. Step 5: Solve for x
    x = 7,326,611,019.14/57,056.63
  6. Step 6: Final answer
    x = 128,409.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.