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Finding the Third Proportional to 46,719 and 109,681

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Solution

The third proportional to 46,719 and 109,681 is: 257,495.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,719 : 109,681 = 109,681 : x
  2. Step 2: Convert to fraction form
    46,719/109,681 = 109,681/x
  3. Step 3: Cross multiply
    46,719x = 109,681 × 109,681
  4. Step 4: Simplify right side
    46,719x = 12,029,921,761
  5. Step 5: Solve for x
    x = 12,029,921,761/46,719
  6. Step 6: Final answer
    x = 257,495.28

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.