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Finding the Third Proportional to 64,773 and 141,546

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Solution

The third proportional to 64,773 and 141,546 is: 309,315.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,773 : 141,546 = 141,546 : x
  2. Step 2: Convert to fraction form
    64,773/141,546 = 141,546/x
  3. Step 3: Cross multiply
    64,773x = 141,546 × 141,546
  4. Step 4: Simplify right side
    64,773x = 20,035,270,116
  5. Step 5: Solve for x
    x = 20,035,270,116/64,773
  6. Step 6: Final answer
    x = 309,315.15

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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.