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Finding the Third Proportional to 56,705 and 83,417

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Solution

The third proportional to 56,705 and 83,417 is: 122,712.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,705 : 83,417 = 83,417 : x
  2. Step 2: Convert to fraction form
    56,705/83,417 = 83,417/x
  3. Step 3: Cross multiply
    56,705x = 83,417 × 83,417
  4. Step 4: Simplify right side
    56,705x = 6,958,395,889
  5. Step 5: Solve for x
    x = 6,958,395,889/56,705
  6. Step 6: Final answer
    x = 122,712.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.