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Finding the Third Proportional to 74,402.30 and 112,274.23

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Solution

The third proportional to 74,402.30 and 112,274.23 is: 169,423.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,402.30 : 112,274.23 = 112,274.23 : x
  2. Step 2: Convert to fraction form
    74,402.30/112,274.23 = 112,274.23/x
  3. Step 3: Cross multiply
    74,402.30x = 112,274.23 × 112,274.23
  4. Step 4: Simplify right side
    74,402.30x = 12,605,501,950.21
  5. Step 5: Solve for x
    x = 12,605,501,950.21/74,402.30
  6. Step 6: Final answer
    x = 169,423.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.