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Finding the Third Proportional to 88,780 and 119,615

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Solution

The third proportional to 88,780 and 119,615 is: 161,159.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,780 : 119,615 = 119,615 : x
  2. Step 2: Convert to fraction form
    88,780/119,615 = 119,615/x
  3. Step 3: Cross multiply
    88,780x = 119,615 × 119,615
  4. Step 4: Simplify right side
    88,780x = 14,307,748,225
  5. Step 5: Solve for x
    x = 14,307,748,225/88,780
  6. Step 6: Final answer
    x = 161,159.59

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.