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Finding the Third Proportional to 42,490 and 67,484.50

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Solution

The third proportional to 42,490 and 67,484.50 is: 107,181.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,490 : 67,484.50 = 67,484.50 : x
  2. Step 2: Convert to fraction form
    42,490/67,484.50 = 67,484.50/x
  3. Step 3: Cross multiply
    42,490x = 67,484.50 × 67,484.50
  4. Step 4: Simplify right side
    42,490x = 4,554,157,740.25
  5. Step 5: Solve for x
    x = 4,554,157,740.25/42,490
  6. Step 6: Final answer
    x = 107,181.87

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.