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Finding the Third Proportional to 99,939 and 148,386

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Solution

The third proportional to 99,939 and 148,386 is: 220,318.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,939 : 148,386 = 148,386 : x
  2. Step 2: Convert to fraction form
    99,939/148,386 = 148,386/x
  3. Step 3: Cross multiply
    99,939x = 148,386 × 148,386
  4. Step 4: Simplify right side
    99,939x = 22,018,404,996
  5. Step 5: Solve for x
    x = 22,018,404,996/99,939
  6. Step 6: Final answer
    x = 220,318.44

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Why These Related Problems?

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