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Finding the Third Proportional to 89,026 and 135,784.50

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Solution

The third proportional to 89,026 and 135,784.50 is: 207,101.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,026 : 135,784.50 = 135,784.50 : x
  2. Step 2: Convert to fraction form
    89,026/135,784.50 = 135,784.50/x
  3. Step 3: Cross multiply
    89,026x = 135,784.50 × 135,784.50
  4. Step 4: Simplify right side
    89,026x = 18,437,430,440.25
  5. Step 5: Solve for x
    x = 18,437,430,440.25/89,026
  6. Step 6: Final answer
    x = 207,101.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.