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Finding the Third Proportional to 89,604 and 132,349.50

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Solution

The third proportional to 89,604 and 132,349.50 is: 195,486.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,604 : 132,349.50 = 132,349.50 : x
  2. Step 2: Convert to fraction form
    89,604/132,349.50 = 132,349.50/x
  3. Step 3: Cross multiply
    89,604x = 132,349.50 × 132,349.50
  4. Step 4: Simplify right side
    89,604x = 17,516,390,150.25
  5. Step 5: Solve for x
    x = 17,516,390,150.25/89,604
  6. Step 6: Final answer
    x = 195,486.70

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.