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Finding the Third Proportional to 72,223.50 and 104,031.50

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Solution

The third proportional to 72,223.50 and 104,031.50 is: 149,848.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,223.50 : 104,031.50 = 104,031.50 : x
  2. Step 2: Convert to fraction form
    72,223.50/104,031.50 = 104,031.50/x
  3. Step 3: Cross multiply
    72,223.50x = 104,031.50 × 104,031.50
  4. Step 4: Simplify right side
    72,223.50x = 10,822,552,992.25
  5. Step 5: Solve for x
    x = 10,822,552,992.25/72,223.50
  6. Step 6: Final answer
    x = 149,848.08

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.