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Finding the Third Proportional to 74,396 and 108,309

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Solution

The third proportional to 74,396 and 108,309 is: 157,681.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,396 : 108,309 = 108,309 : x
  2. Step 2: Convert to fraction form
    74,396/108,309 = 108,309/x
  3. Step 3: Cross multiply
    74,396x = 108,309 × 108,309
  4. Step 4: Simplify right side
    74,396x = 11,730,839,481
  5. Step 5: Solve for x
    x = 11,730,839,481/74,396
  6. Step 6: Final answer
    x = 157,681.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.