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Finding the Third Proportional to 96,470 and 148,350

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Solution

The third proportional to 96,470 and 148,350 is: 228,130.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,470 : 148,350 = 148,350 : x
  2. Step 2: Convert to fraction form
    96,470/148,350 = 148,350/x
  3. Step 3: Cross multiply
    96,470x = 148,350 × 148,350
  4. Step 4: Simplify right side
    96,470x = 22,007,722,500
  5. Step 5: Solve for x
    x = 22,007,722,500/96,470
  6. Step 6: Final answer
    x = 228,130.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.