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Finding the Third Proportional to 65,903 and 102,131.50

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Solution

The third proportional to 65,903 and 102,131.50 is: 158,275.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,903 : 102,131.50 = 102,131.50 : x
  2. Step 2: Convert to fraction form
    65,903/102,131.50 = 102,131.50/x
  3. Step 3: Cross multiply
    65,903x = 102,131.50 × 102,131.50
  4. Step 4: Simplify right side
    65,903x = 10,430,843,292.25
  5. Step 5: Solve for x
    x = 10,430,843,292.25/65,903
  6. Step 6: Final answer
    x = 158,275.70

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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.