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Finding the Third Proportional to 98,534 and 151,617

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Solution

The third proportional to 98,534 and 151,617 is: 233,297.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,534 : 151,617 = 151,617 : x
  2. Step 2: Convert to fraction form
    98,534/151,617 = 151,617/x
  3. Step 3: Cross multiply
    98,534x = 151,617 × 151,617
  4. Step 4: Simplify right side
    98,534x = 22,987,714,689
  5. Step 5: Solve for x
    x = 22,987,714,689/98,534
  6. Step 6: Final answer
    x = 233,297.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.