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Finding the Third Proportional to 61,821 and 93,919.50

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Solution

The third proportional to 61,821 and 93,919.50 is: 142,684.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,821 : 93,919.50 = 93,919.50 : x
  2. Step 2: Convert to fraction form
    61,821/93,919.50 = 93,919.50/x
  3. Step 3: Cross multiply
    61,821x = 93,919.50 × 93,919.50
  4. Step 4: Simplify right side
    61,821x = 8,820,872,480.25
  5. Step 5: Solve for x
    x = 8,820,872,480.25/61,821
  6. Step 6: Final answer
    x = 142,684.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.