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Finding the Third Proportional to 65,932 and 145,310

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Solution

The third proportional to 65,932 and 145,310 is: 320,254.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,932 : 145,310 = 145,310 : x
  2. Step 2: Convert to fraction form
    65,932/145,310 = 145,310/x
  3. Step 3: Cross multiply
    65,932x = 145,310 × 145,310
  4. Step 4: Simplify right side
    65,932x = 21,114,996,100
  5. Step 5: Solve for x
    x = 21,114,996,100/65,932
  6. Step 6: Final answer
    x = 320,254.14

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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.