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Finding the Third Proportional to 99,072 and 141,632

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Solution

The third proportional to 99,072 and 141,632 is: 202,475.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,072 : 141,632 = 141,632 : x
  2. Step 2: Convert to fraction form
    99,072/141,632 = 141,632/x
  3. Step 3: Cross multiply
    99,072x = 141,632 × 141,632
  4. Step 4: Simplify right side
    99,072x = 20,059,623,424
  5. Step 5: Solve for x
    x = 20,059,623,424/99,072
  6. Step 6: Final answer
    x = 202,475.20

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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.