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Finding the Third Proportional to 97,828 and 148,797

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Solution

The third proportional to 97,828 and 148,797 is: 226,321.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,828 : 148,797 = 148,797 : x
  2. Step 2: Convert to fraction form
    97,828/148,797 = 148,797/x
  3. Step 3: Cross multiply
    97,828x = 148,797 × 148,797
  4. Step 4: Simplify right side
    97,828x = 22,140,547,209
  5. Step 5: Solve for x
    x = 22,140,547,209/97,828
  6. Step 6: Final answer
    x = 226,321.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.