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Finding the Third Proportional to 70,924.50 and 145,089

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Solution

The third proportional to 70,924.50 and 145,089 is: 296,806.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,924.50 : 145,089 = 145,089 : x
  2. Step 2: Convert to fraction form
    70,924.50/145,089 = 145,089/x
  3. Step 3: Cross multiply
    70,924.50x = 145,089 × 145,089
  4. Step 4: Simplify right side
    70,924.50x = 21,050,817,921
  5. Step 5: Solve for x
    x = 21,050,817,921/70,924.50
  6. Step 6: Final answer
    x = 296,806.01

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.