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Finding the Third Proportional to 98,440 and 152,721

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Solution

The third proportional to 98,440 and 152,721 is: 236,933.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,440 : 152,721 = 152,721 : x
  2. Step 2: Convert to fraction form
    98,440/152,721 = 152,721/x
  3. Step 3: Cross multiply
    98,440x = 152,721 × 152,721
  4. Step 4: Simplify right side
    98,440x = 23,323,703,841
  5. Step 5: Solve for x
    x = 23,323,703,841/98,440
  6. Step 6: Final answer
    x = 236,933.20

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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.