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Finding the Third Proportional to 42,457.50 and 92,296.13

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Solution

The third proportional to 42,457.50 and 92,296.13 is: 200,637.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,457.50 : 92,296.13 = 92,296.13 : x
  2. Step 2: Convert to fraction form
    42,457.50/92,296.13 = 92,296.13/x
  3. Step 3: Cross multiply
    42,457.50x = 92,296.13 × 92,296.13
  4. Step 4: Simplify right side
    42,457.50x = 8,518,574,690.02
  5. Step 5: Solve for x
    x = 8,518,574,690.02/42,457.50
  6. Step 6: Final answer
    x = 200,637.69

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.