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Finding the Third Proportional to 89,428.50 and 125,343

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Solution

The third proportional to 89,428.50 and 125,343 is: 175,680.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,428.50 : 125,343 = 125,343 : x
  2. Step 2: Convert to fraction form
    89,428.50/125,343 = 125,343/x
  3. Step 3: Cross multiply
    89,428.50x = 125,343 × 125,343
  4. Step 4: Simplify right side
    89,428.50x = 15,710,867,649
  5. Step 5: Solve for x
    x = 15,710,867,649/89,428.50
  6. Step 6: Final answer
    x = 175,680.77

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.