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Finding the Third Proportional to 98,297 and 148,257

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Solution

The third proportional to 98,297 and 148,257 is: 223,609.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,297 : 148,257 = 148,257 : x
  2. Step 2: Convert to fraction form
    98,297/148,257 = 148,257/x
  3. Step 3: Cross multiply
    98,297x = 148,257 × 148,257
  4. Step 4: Simplify right side
    98,297x = 21,980,138,049
  5. Step 5: Solve for x
    x = 21,980,138,049/98,297
  6. Step 6: Final answer
    x = 223,609.45

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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.