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Finding the Third Proportional to 64,539 and 141,804

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Solution

The third proportional to 64,539 and 141,804 is: 311,569.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,539 : 141,804 = 141,804 : x
  2. Step 2: Convert to fraction form
    64,539/141,804 = 141,804/x
  3. Step 3: Cross multiply
    64,539x = 141,804 × 141,804
  4. Step 4: Simplify right side
    64,539x = 20,108,374,416
  5. Step 5: Solve for x
    x = 20,108,374,416/64,539
  6. Step 6: Final answer
    x = 311,569.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.