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Finding the Third Proportional to 65,952 and 145,032

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Solution

The third proportional to 65,952 and 145,032 is: 318,933.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,952 : 145,032 = 145,032 : x
  2. Step 2: Convert to fraction form
    65,952/145,032 = 145,032/x
  3. Step 3: Cross multiply
    65,952x = 145,032 × 145,032
  4. Step 4: Simplify right side
    65,952x = 21,034,281,024
  5. Step 5: Solve for x
    x = 21,034,281,024/65,952
  6. Step 6: Final answer
    x = 318,933.18

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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.