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Finding the Third Proportional to 46,681 and 100,772

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Solution

The third proportional to 46,681 and 100,772 is: 217,540.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,681 : 100,772 = 100,772 : x
  2. Step 2: Convert to fraction form
    46,681/100,772 = 100,772/x
  3. Step 3: Cross multiply
    46,681x = 100,772 × 100,772
  4. Step 4: Simplify right side
    46,681x = 10,154,995,984
  5. Step 5: Solve for x
    x = 10,154,995,984/46,681
  6. Step 6: Final answer
    x = 217,540.24

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.