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Finding the Third Proportional to 99,126 and 148,718.81

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Solution

The third proportional to 99,126 and 148,718.81 is: 223,122.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,126 : 148,718.81 = 148,718.81 : x
  2. Step 2: Convert to fraction form
    99,126/148,718.81 = 148,718.81/x
  3. Step 3: Cross multiply
    99,126x = 148,718.81 × 148,718.81
  4. Step 4: Simplify right side
    99,126x = 22,117,285,191.41
  5. Step 5: Solve for x
    x = 22,117,285,191.41/99,126
  6. Step 6: Final answer
    x = 223,122.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.