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Finding the Third Proportional to 72,032 and 96,973

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Solution

The third proportional to 72,032 and 96,973 is: 130,549.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,032 : 96,973 = 96,973 : x
  2. Step 2: Convert to fraction form
    72,032/96,973 = 96,973/x
  3. Step 3: Cross multiply
    72,032x = 96,973 × 96,973
  4. Step 4: Simplify right side
    72,032x = 9,403,762,729
  5. Step 5: Solve for x
    x = 9,403,762,729/72,032
  6. Step 6: Final answer
    x = 130,549.79

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.