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Finding the Third Proportional to 103,420.50 and 153,186

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Solution

The third proportional to 103,420.50 and 153,186 is: 226,898.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,420.50 : 153,186 = 153,186 : x
  2. Step 2: Convert to fraction form
    103,420.50/153,186 = 153,186/x
  3. Step 3: Cross multiply
    103,420.50x = 153,186 × 153,186
  4. Step 4: Simplify right side
    103,420.50x = 23,465,950,596
  5. Step 5: Solve for x
    x = 23,465,950,596/103,420.50
  6. Step 6: Final answer
    x = 226,898.44

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.