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Finding the Third Proportional to 89,228.25 and 118,948.50

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Solution

The third proportional to 89,228.25 and 118,948.50 is: 158,568.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,228.25 : 118,948.50 = 118,948.50 : x
  2. Step 2: Convert to fraction form
    89,228.25/118,948.50 = 118,948.50/x
  3. Step 3: Cross multiply
    89,228.25x = 118,948.50 × 118,948.50
  4. Step 4: Simplify right side
    89,228.25x = 14,148,745,652.25
  5. Step 5: Solve for x
    x = 14,148,745,652.25/89,228.25
  6. Step 6: Final answer
    x = 158,568.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.