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Finding the Third Proportional to 92,904.47 and 129,270.94

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Solution

The third proportional to 92,904.47 and 129,270.94 is: 179,872.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,904.47 : 129,270.94 = 129,270.94 : x
  2. Step 2: Convert to fraction form
    92,904.47/129,270.94 = 129,270.94/x
  3. Step 3: Cross multiply
    92,904.47x = 129,270.94 × 129,270.94
  4. Step 4: Simplify right side
    92,904.47x = 16,710,975,282.13
  5. Step 5: Solve for x
    x = 16,710,975,282.13/92,904.47
  6. Step 6: Final answer
    x = 179,872.67

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.