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Finding the Third Proportional to 42,699 and 63,645

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Solution

The third proportional to 42,699 and 63,645 is: 94,866.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,699 : 63,645 = 63,645 : x
  2. Step 2: Convert to fraction form
    42,699/63,645 = 63,645/x
  3. Step 3: Cross multiply
    42,699x = 63,645 × 63,645
  4. Step 4: Simplify right side
    42,699x = 4,050,686,025
  5. Step 5: Solve for x
    x = 4,050,686,025/42,699
  6. Step 6: Final answer
    x = 94,866.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.