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Finding the Third Proportional to 98,897 and 153,039

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Solution

The third proportional to 98,897 and 153,039 is: 236,821.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,897 : 153,039 = 153,039 : x
  2. Step 2: Convert to fraction form
    98,897/153,039 = 153,039/x
  3. Step 3: Cross multiply
    98,897x = 153,039 × 153,039
  4. Step 4: Simplify right side
    98,897x = 23,420,935,521
  5. Step 5: Solve for x
    x = 23,420,935,521/98,897
  6. Step 6: Final answer
    x = 236,821.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.