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Finding the Third Proportional to 42,995 and 65,141.63

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Solution

The third proportional to 42,995 and 65,141.63 is: 98,695.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,995 : 65,141.63 = 65,141.63 : x
  2. Step 2: Convert to fraction form
    42,995/65,141.63 = 65,141.63/x
  3. Step 3: Cross multiply
    42,995x = 65,141.63 × 65,141.63
  4. Step 4: Simplify right side
    42,995x = 4,243,431,307.64
  5. Step 5: Solve for x
    x = 4,243,431,307.64/42,995
  6. Step 6: Final answer
    x = 98,695.93

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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.