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Finding the Third Proportional to 64,295.81 and 100,125.02

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Solution

The third proportional to 64,295.81 and 100,125.02 is: 155,920.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,295.81 : 100,125.02 = 100,125.02 : x
  2. Step 2: Convert to fraction form
    64,295.81/100,125.02 = 100,125.02/x
  3. Step 3: Cross multiply
    64,295.81x = 100,125.02 × 100,125.02
  4. Step 4: Simplify right side
    64,295.81x = 10,025,019,145.02
  5. Step 5: Solve for x
    x = 10,025,019,145.02/64,295.81
  6. Step 6: Final answer
    x = 155,920.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.