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Finding the Third Proportional to 99,126 and 141,300

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Solution

The third proportional to 99,126 and 141,300 is: 201,417.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,126 : 141,300 = 141,300 : x
  2. Step 2: Convert to fraction form
    99,126/141,300 = 141,300/x
  3. Step 3: Cross multiply
    99,126x = 141,300 × 141,300
  4. Step 4: Simplify right side
    99,126x = 19,965,690,000
  5. Step 5: Solve for x
    x = 19,965,690,000/99,126
  6. Step 6: Final answer
    x = 201,417.29

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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.