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Finding the Third Proportional to 102,124.50 and 149,753.25

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Solution

The third proportional to 102,124.50 and 149,753.25 is: 219,595.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,124.50 : 149,753.25 = 149,753.25 : x
  2. Step 2: Convert to fraction form
    102,124.50/149,753.25 = 149,753.25/x
  3. Step 3: Cross multiply
    102,124.50x = 149,753.25 × 149,753.25
  4. Step 4: Simplify right side
    102,124.50x = 22,426,035,885.56
  5. Step 5: Solve for x
    x = 22,426,035,885.56/102,124.50
  6. Step 6: Final answer
    x = 219,595.06

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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.