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Finding the Third Proportional to 89,229 and 118,959

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Solution

The third proportional to 89,229 and 118,959 is: 158,594.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,229 : 118,959 = 118,959 : x
  2. Step 2: Convert to fraction form
    89,229/118,959 = 118,959/x
  3. Step 3: Cross multiply
    89,229x = 118,959 × 118,959
  4. Step 4: Simplify right side
    89,229x = 14,151,243,681
  5. Step 5: Solve for x
    x = 14,151,243,681/89,229
  6. Step 6: Final answer
    x = 158,594.67

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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.