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Finding the Third Proportional to 98,509 and 156,011

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Solution

The third proportional to 98,509 and 156,011 is: 247,078.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,509 : 156,011 = 156,011 : x
  2. Step 2: Convert to fraction form
    98,509/156,011 = 156,011/x
  3. Step 3: Cross multiply
    98,509x = 156,011 × 156,011
  4. Step 4: Simplify right side
    98,509x = 24,339,432,121
  5. Step 5: Solve for x
    x = 24,339,432,121/98,509
  6. Step 6: Final answer
    x = 247,078.26

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Why These Related Problems?

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