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Finding the Third Proportional to 72,424 and 97,458

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Solution

The third proportional to 72,424 and 97,458 is: 131,145.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,424 : 97,458 = 97,458 : x
  2. Step 2: Convert to fraction form
    72,424/97,458 = 97,458/x
  3. Step 3: Cross multiply
    72,424x = 97,458 × 97,458
  4. Step 4: Simplify right side
    72,424x = 9,498,061,764
  5. Step 5: Solve for x
    x = 9,498,061,764/72,424
  6. Step 6: Final answer
    x = 131,145.22

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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.