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Finding the Third Proportional to 99,246 and 141,489

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Solution

The third proportional to 99,246 and 141,489 is: 201,712.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,246 : 141,489 = 141,489 : x
  2. Step 2: Convert to fraction form
    99,246/141,489 = 141,489/x
  3. Step 3: Cross multiply
    99,246x = 141,489 × 141,489
  4. Step 4: Simplify right side
    99,246x = 20,019,137,121
  5. Step 5: Solve for x
    x = 20,019,137,121/99,246
  6. Step 6: Final answer
    x = 201,712.28

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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.