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Finding the Third Proportional to 37,122 and 61,210.50

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Solution

The third proportional to 37,122 and 61,210.50 is: 100,930.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,122 : 61,210.50 = 61,210.50 : x
  2. Step 2: Convert to fraction form
    37,122/61,210.50 = 61,210.50/x
  3. Step 3: Cross multiply
    37,122x = 61,210.50 × 61,210.50
  4. Step 4: Simplify right side
    37,122x = 3,746,725,310.25
  5. Step 5: Solve for x
    x = 3,746,725,310.25/37,122
  6. Step 6: Final answer
    x = 100,930.05

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.