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Finding the Third Proportional to 89,127 and 133,707.75

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Solution

The third proportional to 89,127 and 133,707.75 is: 200,587.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,127 : 133,707.75 = 133,707.75 : x
  2. Step 2: Convert to fraction form
    89,127/133,707.75 = 133,707.75/x
  3. Step 3: Cross multiply
    89,127x = 133,707.75 × 133,707.75
  4. Step 4: Simplify right side
    89,127x = 17,877,762,410.06
  5. Step 5: Solve for x
    x = 17,877,762,410.06/89,127
  6. Step 6: Final answer
    x = 200,587.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.