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Finding the Third Proportional to 42,994.13 and 65,140.31

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Solution

The third proportional to 42,994.13 and 65,140.31 is: 98,693.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,994.13 : 65,140.31 = 65,140.31 : x
  2. Step 2: Convert to fraction form
    42,994.13/65,140.31 = 65,140.31/x
  3. Step 3: Cross multiply
    42,994.13x = 65,140.31 × 65,140.31
  4. Step 4: Simplify right side
    42,994.13x = 4,243,260,312.60
  5. Step 5: Solve for x
    x = 4,243,260,312.60/42,994.13
  6. Step 6: Final answer
    x = 98,693.96

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.