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Finding the Third Proportional to 90,841 and 130,034

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Solution

The third proportional to 90,841 and 130,034 is: 186,136.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,841 : 130,034 = 130,034 : x
  2. Step 2: Convert to fraction form
    90,841/130,034 = 130,034/x
  3. Step 3: Cross multiply
    90,841x = 130,034 × 130,034
  4. Step 4: Simplify right side
    90,841x = 16,908,841,156
  5. Step 5: Solve for x
    x = 16,908,841,156/90,841
  6. Step 6: Final answer
    x = 186,136.67

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Why These Related Problems?

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