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Finding the Third Proportional to 102,733.50 and 151,330.50

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Solution

The third proportional to 102,733.50 and 151,330.50 is: 222,915.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,733.50 : 151,330.50 = 151,330.50 : x
  2. Step 2: Convert to fraction form
    102,733.50/151,330.50 = 151,330.50/x
  3. Step 3: Cross multiply
    102,733.50x = 151,330.50 × 151,330.50
  4. Step 4: Simplify right side
    102,733.50x = 22,900,920,230.25
  5. Step 5: Solve for x
    x = 22,900,920,230.25/102,733.50
  6. Step 6: Final answer
    x = 222,915.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.