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Finding the Third Proportional to 56,101.50 and 85,779

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Solution

The third proportional to 56,101.50 and 85,779 is: 131,155.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,101.50 : 85,779 = 85,779 : x
  2. Step 2: Convert to fraction form
    56,101.50/85,779 = 85,779/x
  3. Step 3: Cross multiply
    56,101.50x = 85,779 × 85,779
  4. Step 4: Simplify right side
    56,101.50x = 7,358,036,841
  5. Step 5: Solve for x
    x = 7,358,036,841/56,101.50
  6. Step 6: Final answer
    x = 131,155.80

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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.