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Finding the Third Proportional to 98,298 and 148,259

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Solution

The third proportional to 98,298 and 148,259 is: 223,613.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,298 : 148,259 = 148,259 : x
  2. Step 2: Convert to fraction form
    98,298/148,259 = 148,259/x
  3. Step 3: Cross multiply
    98,298x = 148,259 × 148,259
  4. Step 4: Simplify right side
    98,298x = 21,980,731,081
  5. Step 5: Solve for x
    x = 21,980,731,081/98,298
  6. Step 6: Final answer
    x = 223,613.21

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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.