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Finding the Third Proportional to 98,693 and 146,338

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Solution

The third proportional to 98,693 and 146,338 is: 216,984.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,693 : 146,338 = 146,338 : x
  2. Step 2: Convert to fraction form
    98,693/146,338 = 146,338/x
  3. Step 3: Cross multiply
    98,693x = 146,338 × 146,338
  4. Step 4: Simplify right side
    98,693x = 21,414,810,244
  5. Step 5: Solve for x
    x = 21,414,810,244/98,693
  6. Step 6: Final answer
    x = 216,984.08

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.