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Finding the Third Proportional to 45,294.50 and 74,860.50

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Solution

The third proportional to 45,294.50 and 74,860.50 is: 123,725.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,294.50 : 74,860.50 = 74,860.50 : x
  2. Step 2: Convert to fraction form
    45,294.50/74,860.50 = 74,860.50/x
  3. Step 3: Cross multiply
    45,294.50x = 74,860.50 × 74,860.50
  4. Step 4: Simplify right side
    45,294.50x = 5,604,094,460.25
  5. Step 5: Solve for x
    x = 5,604,094,460.25/45,294.50
  6. Step 6: Final answer
    x = 123,725.72

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