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Finding the Third Proportional to 85,909 and 93,697

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Solution

The third proportional to 85,909 and 93,697 is: 102,191.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,909 : 93,697 = 93,697 : x
  2. Step 2: Convert to fraction form
    85,909/93,697 = 93,697/x
  3. Step 3: Cross multiply
    85,909x = 93,697 × 93,697
  4. Step 4: Simplify right side
    85,909x = 8,779,127,809
  5. Step 5: Solve for x
    x = 8,779,127,809/85,909
  6. Step 6: Final answer
    x = 102,191.01

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.