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Finding the Third Proportional to 64,632 and 145,053

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Solution

The third proportional to 64,632 and 145,053 is: 325,541.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,632 : 145,053 = 145,053 : x
  2. Step 2: Convert to fraction form
    64,632/145,053 = 145,053/x
  3. Step 3: Cross multiply
    64,632x = 145,053 × 145,053
  4. Step 4: Simplify right side
    64,632x = 21,040,372,809
  5. Step 5: Solve for x
    x = 21,040,372,809/64,632
  6. Step 6: Final answer
    x = 325,541.11

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.