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Finding the Third Proportional to 64,232 and 98,805

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Solution

The third proportional to 64,232 and 98,805 is: 151,986.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,232 : 98,805 = 98,805 : x
  2. Step 2: Convert to fraction form
    64,232/98,805 = 98,805/x
  3. Step 3: Cross multiply
    64,232x = 98,805 × 98,805
  4. Step 4: Simplify right side
    64,232x = 9,762,428,025
  5. Step 5: Solve for x
    x = 9,762,428,025/64,232
  6. Step 6: Final answer
    x = 151,986.99

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.