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Finding the Third Proportional to 74,102 and 97,329

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Solution

The third proportional to 74,102 and 97,329 is: 127,836.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,102 : 97,329 = 97,329 : x
  2. Step 2: Convert to fraction form
    74,102/97,329 = 97,329/x
  3. Step 3: Cross multiply
    74,102x = 97,329 × 97,329
  4. Step 4: Simplify right side
    74,102x = 9,472,934,241
  5. Step 5: Solve for x
    x = 9,472,934,241/74,102
  6. Step 6: Final answer
    x = 127,836.42

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.