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Finding the Third Proportional to 133,818.50 and 195,702

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Solution

The third proportional to 133,818.50 and 195,702 is: 286,203.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,818.50 : 195,702 = 195,702 : x
  2. Step 2: Convert to fraction form
    133,818.50/195,702 = 195,702/x
  3. Step 3: Cross multiply
    133,818.50x = 195,702 × 195,702
  4. Step 4: Simplify right side
    133,818.50x = 38,299,272,804
  5. Step 5: Solve for x
    x = 38,299,272,804/133,818.50
  6. Step 6: Final answer
    x = 286,203.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.