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Finding the Third Proportional to 44,830 and 97,082

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Solution

The third proportional to 44,830 and 97,082 is: 210,236.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,830 : 97,082 = 97,082 : x
  2. Step 2: Convert to fraction form
    44,830/97,082 = 97,082/x
  3. Step 3: Cross multiply
    44,830x = 97,082 × 97,082
  4. Step 4: Simplify right side
    44,830x = 9,424,914,724
  5. Step 5: Solve for x
    x = 9,424,914,724/44,830
  6. Step 6: Final answer
    x = 210,236.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.