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Finding the Third Proportional to 62,293.64 and 93,421.27

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Solution

The third proportional to 62,293.64 and 93,421.27 is: 140,103.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,293.64 : 93,421.27 = 93,421.27 : x
  2. Step 2: Convert to fraction form
    62,293.64/93,421.27 = 93,421.27/x
  3. Step 3: Cross multiply
    62,293.64x = 93,421.27 × 93,421.27
  4. Step 4: Simplify right side
    62,293.64x = 8,727,532,870.98
  5. Step 5: Solve for x
    x = 8,727,532,870.98/62,293.64
  6. Step 6: Final answer
    x = 140,103.11

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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.