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Finding the Third Proportional to 96,470 and 147,480

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Solution

The third proportional to 96,470 and 147,480 is: 225,462.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,470 : 147,480 = 147,480 : x
  2. Step 2: Convert to fraction form
    96,470/147,480 = 147,480/x
  3. Step 3: Cross multiply
    96,470x = 147,480 × 147,480
  4. Step 4: Simplify right side
    96,470x = 21,750,350,400
  5. Step 5: Solve for x
    x = 21,750,350,400/96,470
  6. Step 6: Final answer
    x = 225,462.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.