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Finding the Third Proportional to 56,501.75 and 85,482.13

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Solution

The third proportional to 56,501.75 and 85,482.13 is: 129,326.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,501.75 : 85,482.13 = 85,482.13 : x
  2. Step 2: Convert to fraction form
    56,501.75/85,482.13 = 85,482.13/x
  3. Step 3: Cross multiply
    56,501.75x = 85,482.13 × 85,482.13
  4. Step 4: Simplify right side
    56,501.75x = 7,307,193,694.52
  5. Step 5: Solve for x
    x = 7,307,193,694.52/56,501.75
  6. Step 6: Final answer
    x = 129,326.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.