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Finding the Third Proportional to 103,910 and 148,581

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Solution

The third proportional to 103,910 and 148,581 is: 212,456.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,910 : 148,581 = 148,581 : x
  2. Step 2: Convert to fraction form
    103,910/148,581 = 148,581/x
  3. Step 3: Cross multiply
    103,910x = 148,581 × 148,581
  4. Step 4: Simplify right side
    103,910x = 22,076,313,561
  5. Step 5: Solve for x
    x = 22,076,313,561/103,910
  6. Step 6: Final answer
    x = 212,456.10

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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.