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Finding the Third Proportional to 98,748 and 159,018

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Solution

The third proportional to 98,748 and 159,018 is: 256,073.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,748 : 159,018 = 159,018 : x
  2. Step 2: Convert to fraction form
    98,748/159,018 = 159,018/x
  3. Step 3: Cross multiply
    98,748x = 159,018 × 159,018
  4. Step 4: Simplify right side
    98,748x = 25,286,724,324
  5. Step 5: Solve for x
    x = 25,286,724,324/98,748
  6. Step 6: Final answer
    x = 256,073.28

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.