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Finding the Third Proportional to 56,767 and 121,681

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Solution

The third proportional to 56,767 and 121,681 is: 260,825.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,767 : 121,681 = 121,681 : x
  2. Step 2: Convert to fraction form
    56,767/121,681 = 121,681/x
  3. Step 3: Cross multiply
    56,767x = 121,681 × 121,681
  4. Step 4: Simplify right side
    56,767x = 14,806,265,761
  5. Step 5: Solve for x
    x = 14,806,265,761/56,767
  6. Step 6: Final answer
    x = 260,825.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.