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Finding the Third Proportional to 42,316.56 and 65,734.45

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Solution

The third proportional to 42,316.56 and 65,734.45 is: 102,111.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,316.56 : 65,734.45 = 65,734.45 : x
  2. Step 2: Convert to fraction form
    42,316.56/65,734.45 = 65,734.45/x
  3. Step 3: Cross multiply
    42,316.56x = 65,734.45 × 65,734.45
  4. Step 4: Simplify right side
    42,316.56x = 4,321,018,327.64
  5. Step 5: Solve for x
    x = 4,321,018,327.64/42,316.56
  6. Step 6: Final answer
    x = 102,111.76

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.