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Finding the Third Proportional to 67,335 and 102,400.50

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Solution

The third proportional to 67,335 and 102,400.50 is: 155,726.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,335 : 102,400.50 = 102,400.50 : x
  2. Step 2: Convert to fraction form
    67,335/102,400.50 = 102,400.50/x
  3. Step 3: Cross multiply
    67,335x = 102,400.50 × 102,400.50
  4. Step 4: Simplify right side
    67,335x = 10,485,862,400.25
  5. Step 5: Solve for x
    x = 10,485,862,400.25/67,335
  6. Step 6: Final answer
    x = 155,726.78

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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.