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Finding the Third Proportional to 98,723.25 and 156,928.50

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Solution

The third proportional to 98,723.25 and 156,928.50 is: 249,450.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,723.25 : 156,928.50 = 156,928.50 : x
  2. Step 2: Convert to fraction form
    98,723.25/156,928.50 = 156,928.50/x
  3. Step 3: Cross multiply
    98,723.25x = 156,928.50 × 156,928.50
  4. Step 4: Simplify right side
    98,723.25x = 24,626,554,112.25
  5. Step 5: Solve for x
    x = 24,626,554,112.25/98,723.25
  6. Step 6: Final answer
    x = 249,450.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.