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Finding the Third Proportional to 99,875 and 148,314

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Solution

The third proportional to 99,875 and 148,314 is: 220,245.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,875 : 148,314 = 148,314 : x
  2. Step 2: Convert to fraction form
    99,875/148,314 = 148,314/x
  3. Step 3: Cross multiply
    99,875x = 148,314 × 148,314
  4. Step 4: Simplify right side
    99,875x = 21,997,042,596
  5. Step 5: Solve for x
    x = 21,997,042,596/99,875
  6. Step 6: Final answer
    x = 220,245.73

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.