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Finding the Third Proportional to 98,508.50 and 156,009.75

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Solution

The third proportional to 98,508.50 and 156,009.75 is: 247,075.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,508.50 : 156,009.75 = 156,009.75 : x
  2. Step 2: Convert to fraction form
    98,508.50/156,009.75 = 156,009.75/x
  3. Step 3: Cross multiply
    98,508.50x = 156,009.75 × 156,009.75
  4. Step 4: Simplify right side
    98,508.50x = 24,339,042,095.06
  5. Step 5: Solve for x
    x = 24,339,042,095.06/98,508.50
  6. Step 6: Final answer
    x = 247,075.55

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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.