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Finding the Third Proportional to 103,984.50 and 148,703

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Solution

The third proportional to 103,984.50 and 148,703 is: 212,652.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,984.50 : 148,703 = 148,703 : x
  2. Step 2: Convert to fraction form
    103,984.50/148,703 = 148,703/x
  3. Step 3: Cross multiply
    103,984.50x = 148,703 × 148,703
  4. Step 4: Simplify right side
    103,984.50x = 22,112,582,209
  5. Step 5: Solve for x
    x = 22,112,582,209/103,984.50
  6. Step 6: Final answer
    x = 212,652.68

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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.