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Finding the Third Proportional to 98,514 and 156,017.25

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Solution

The third proportional to 98,514 and 156,017.25 is: 247,085.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,514 : 156,017.25 = 156,017.25 : x
  2. Step 2: Convert to fraction form
    98,514/156,017.25 = 156,017.25/x
  3. Step 3: Cross multiply
    98,514x = 156,017.25 × 156,017.25
  4. Step 4: Simplify right side
    98,514x = 24,341,382,297.56
  5. Step 5: Solve for x
    x = 24,341,382,297.56/98,514
  6. Step 6: Final answer
    x = 247,085.51

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.