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Finding the Third Proportional to 102,854 and 155,376.50

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Solution

The third proportional to 102,854 and 155,376.50 is: 234,719.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,854 : 155,376.50 = 155,376.50 : x
  2. Step 2: Convert to fraction form
    102,854/155,376.50 = 155,376.50/x
  3. Step 3: Cross multiply
    102,854x = 155,376.50 × 155,376.50
  4. Step 4: Simplify right side
    102,854x = 24,141,856,752.25
  5. Step 5: Solve for x
    x = 24,141,856,752.25/102,854
  6. Step 6: Final answer
    x = 234,719.67

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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.