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Finding the Third Proportional to 65,818.50 and 102,102

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Solution

The third proportional to 65,818.50 and 102,102 is: 158,387.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,818.50 : 102,102 = 102,102 : x
  2. Step 2: Convert to fraction form
    65,818.50/102,102 = 102,102/x
  3. Step 3: Cross multiply
    65,818.50x = 102,102 × 102,102
  4. Step 4: Simplify right side
    65,818.50x = 10,424,818,404
  5. Step 5: Solve for x
    x = 10,424,818,404/65,818.50
  6. Step 6: Final answer
    x = 158,387.36

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.