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Finding the Third Proportional to 45,417 and 68,140.50

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Solution

The third proportional to 45,417 and 68,140.50 is: 102,233.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,417 : 68,140.50 = 68,140.50 : x
  2. Step 2: Convert to fraction form
    45,417/68,140.50 = 68,140.50/x
  3. Step 3: Cross multiply
    45,417x = 68,140.50 × 68,140.50
  4. Step 4: Simplify right side
    45,417x = 4,643,127,740.25
  5. Step 5: Solve for x
    x = 4,643,127,740.25/45,417
  6. Step 6: Final answer
    x = 102,233.25

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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.