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Finding the Third Proportional to 98,903 and 155,037

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Solution

The third proportional to 98,903 and 155,037 is: 243,030.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,903 : 155,037 = 155,037 : x
  2. Step 2: Convert to fraction form
    98,903/155,037 = 155,037/x
  3. Step 3: Cross multiply
    98,903x = 155,037 × 155,037
  4. Step 4: Simplify right side
    98,903x = 24,036,471,369
  5. Step 5: Solve for x
    x = 24,036,471,369/98,903
  6. Step 6: Final answer
    x = 243,030.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.