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Finding the Third Proportional to 56,784.50 and 85,313

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Solution

The third proportional to 56,784.50 and 85,313 is: 128,174.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,784.50 : 85,313 = 85,313 : x
  2. Step 2: Convert to fraction form
    56,784.50/85,313 = 85,313/x
  3. Step 3: Cross multiply
    56,784.50x = 85,313 × 85,313
  4. Step 4: Simplify right side
    56,784.50x = 7,278,307,969
  5. Step 5: Solve for x
    x = 7,278,307,969/56,784.50
  6. Step 6: Final answer
    x = 128,174.20

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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.