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Finding the Third Proportional to 98,478 and 143,411

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Solution

The third proportional to 98,478 and 143,411 is: 208,845.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,478 : 143,411 = 143,411 : x
  2. Step 2: Convert to fraction form
    98,478/143,411 = 143,411/x
  3. Step 3: Cross multiply
    98,478x = 143,411 × 143,411
  4. Step 4: Simplify right side
    98,478x = 20,566,714,921
  5. Step 5: Solve for x
    x = 20,566,714,921/98,478
  6. Step 6: Final answer
    x = 208,845.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.