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Finding the Third Proportional to 98,893 and 153,411

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Solution

The third proportional to 98,893 and 153,411 is: 237,983.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,893 : 153,411 = 153,411 : x
  2. Step 2: Convert to fraction form
    98,893/153,411 = 153,411/x
  3. Step 3: Cross multiply
    98,893x = 153,411 × 153,411
  4. Step 4: Simplify right side
    98,893x = 23,534,934,921
  5. Step 5: Solve for x
    x = 23,534,934,921/98,893
  6. Step 6: Final answer
    x = 237,983.83

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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.