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Finding the Third Proportional to 65,585 and 143,779

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Solution

The third proportional to 65,585 and 143,779 is: 315,200.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,585 : 143,779 = 143,779 : x
  2. Step 2: Convert to fraction form
    65,585/143,779 = 143,779/x
  3. Step 3: Cross multiply
    65,585x = 143,779 × 143,779
  4. Step 4: Simplify right side
    65,585x = 20,672,400,841
  5. Step 5: Solve for x
    x = 20,672,400,841/65,585
  6. Step 6: Final answer
    x = 315,200.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.