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Finding the Third Proportional to 112,999.50 and 153,466.50

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Solution

The third proportional to 112,999.50 and 153,466.50 is: 208,425.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,999.50 : 153,466.50 = 153,466.50 : x
  2. Step 2: Convert to fraction form
    112,999.50/153,466.50 = 153,466.50/x
  3. Step 3: Cross multiply
    112,999.50x = 153,466.50 × 153,466.50
  4. Step 4: Simplify right side
    112,999.50x = 23,551,966,622.25
  5. Step 5: Solve for x
    x = 23,551,966,622.25/112,999.50
  6. Step 6: Final answer
    x = 208,425.41

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.