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Finding the Third Proportional to 102,937.50 and 148,663.50

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Solution

The third proportional to 102,937.50 and 148,663.50 is: 214,701.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,937.50 : 148,663.50 = 148,663.50 : x
  2. Step 2: Convert to fraction form
    102,937.50/148,663.50 = 148,663.50/x
  3. Step 3: Cross multiply
    102,937.50x = 148,663.50 × 148,663.50
  4. Step 4: Simplify right side
    102,937.50x = 22,100,836,232.25
  5. Step 5: Solve for x
    x = 22,100,836,232.25/102,937.50
  6. Step 6: Final answer
    x = 214,701.51

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.