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Finding the Third Proportional to 42,994.69 and 65,140.88

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Solution

The third proportional to 42,994.69 and 65,140.88 is: 98,694.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,994.69 : 65,140.88 = 65,140.88 : x
  2. Step 2: Convert to fraction form
    42,994.69/65,140.88 = 65,140.88/x
  3. Step 3: Cross multiply
    42,994.69x = 65,140.88 × 65,140.88
  4. Step 4: Simplify right side
    42,994.69x = 4,243,333,595.77
  5. Step 5: Solve for x
    x = 4,243,333,595.77/42,994.69
  6. Step 6: Final answer
    x = 98,694.37

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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.