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Finding the Third Proportional to 113,985 and 170,343

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Solution

The third proportional to 113,985 and 170,343 is: 254,566.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,985 : 170,343 = 170,343 : x
  2. Step 2: Convert to fraction form
    113,985/170,343 = 170,343/x
  3. Step 3: Cross multiply
    113,985x = 170,343 × 170,343
  4. Step 4: Simplify right side
    113,985x = 29,016,737,649
  5. Step 5: Solve for x
    x = 29,016,737,649/113,985
  6. Step 6: Final answer
    x = 254,566.28

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Why These Related Problems?

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