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Finding the Third Proportional to 98,510.25 and 156,012.25

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Solution

The third proportional to 98,510.25 and 156,012.25 is: 247,079.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,510.25 : 156,012.25 = 156,012.25 : x
  2. Step 2: Convert to fraction form
    98,510.25/156,012.25 = 156,012.25/x
  3. Step 3: Cross multiply
    98,510.25x = 156,012.25 × 156,012.25
  4. Step 4: Simplify right side
    98,510.25x = 24,339,822,150.06
  5. Step 5: Solve for x
    x = 24,339,822,150.06/98,510.25
  6. Step 6: Final answer
    x = 247,079.08

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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.