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Finding the Third Proportional to 74,740.50 and 109,233

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Solution

The third proportional to 74,740.50 and 109,233 is: 159,643.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,740.50 : 109,233 = 109,233 : x
  2. Step 2: Convert to fraction form
    74,740.50/109,233 = 109,233/x
  3. Step 3: Cross multiply
    74,740.50x = 109,233 × 109,233
  4. Step 4: Simplify right side
    74,740.50x = 11,931,848,289
  5. Step 5: Solve for x
    x = 11,931,848,289/74,740.50
  6. Step 6: Final answer
    x = 159,643.68

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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.