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Finding the Third Proportional to 96,368 and 148,310

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Solution

The third proportional to 96,368 and 148,310 is: 228,248.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,368 : 148,310 = 148,310 : x
  2. Step 2: Convert to fraction form
    96,368/148,310 = 148,310/x
  3. Step 3: Cross multiply
    96,368x = 148,310 × 148,310
  4. Step 4: Simplify right side
    96,368x = 21,995,856,100
  5. Step 5: Solve for x
    x = 21,995,856,100/96,368
  6. Step 6: Final answer
    x = 228,248.55

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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.