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Finding the Third Proportional to 103,857.75 and 148,519.13

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Solution

The third proportional to 103,857.75 and 148,519.13 is: 212,385.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,857.75 : 148,519.13 = 148,519.13 : x
  2. Step 2: Convert to fraction form
    103,857.75/148,519.13 = 148,519.13/x
  3. Step 3: Cross multiply
    103,857.75x = 148,519.13 × 148,519.13
  4. Step 4: Simplify right side
    103,857.75x = 22,057,930,490.77
  5. Step 5: Solve for x
    x = 22,057,930,490.77/103,857.75
  6. Step 6: Final answer
    x = 212,385.98

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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.