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Finding the Third Proportional to 90,907.50 and 130,134

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Solution

The third proportional to 90,907.50 and 130,134 is: 186,286.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,907.50 : 130,134 = 130,134 : x
  2. Step 2: Convert to fraction form
    90,907.50/130,134 = 130,134/x
  3. Step 3: Cross multiply
    90,907.50x = 130,134 × 130,134
  4. Step 4: Simplify right side
    90,907.50x = 16,934,857,956
  5. Step 5: Solve for x
    x = 16,934,857,956/90,907.50
  6. Step 6: Final answer
    x = 186,286.70

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.