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Finding the Third Proportional to 98,376 and 148,733

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Solution

The third proportional to 98,376 and 148,733 is: 224,866.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,376 : 148,733 = 148,733 : x
  2. Step 2: Convert to fraction form
    98,376/148,733 = 148,733/x
  3. Step 3: Cross multiply
    98,376x = 148,733 × 148,733
  4. Step 4: Simplify right side
    98,376x = 22,121,505,289
  5. Step 5: Solve for x
    x = 22,121,505,289/98,376
  6. Step 6: Final answer
    x = 224,866.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.