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Finding the Third Proportional to 37,107 and 75,509.50

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Solution

The third proportional to 37,107 and 75,509.50 is: 153,655.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,107 : 75,509.50 = 75,509.50 : x
  2. Step 2: Convert to fraction form
    37,107/75,509.50 = 75,509.50/x
  3. Step 3: Cross multiply
    37,107x = 75,509.50 × 75,509.50
  4. Step 4: Simplify right side
    37,107x = 5,701,684,590.25
  5. Step 5: Solve for x
    x = 5,701,684,590.25/37,107
  6. Step 6: Final answer
    x = 153,655.23

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.