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Finding the Third Proportional to 65,943 and 145,332

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Solution

The third proportional to 65,943 and 145,332 is: 320,297.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,943 : 145,332 = 145,332 : x
  2. Step 2: Convert to fraction form
    65,943/145,332 = 145,332/x
  3. Step 3: Cross multiply
    65,943x = 145,332 × 145,332
  4. Step 4: Simplify right side
    65,943x = 21,121,390,224
  5. Step 5: Solve for x
    x = 21,121,390,224/65,943
  6. Step 6: Final answer
    x = 320,297.68

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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.