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Finding the Third Proportional to 74,348 and 105,986

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Solution

The third proportional to 74,348 and 105,986 is: 151,087.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,348 : 105,986 = 105,986 : x
  2. Step 2: Convert to fraction form
    74,348/105,986 = 105,986/x
  3. Step 3: Cross multiply
    74,348x = 105,986 × 105,986
  4. Step 4: Simplify right side
    74,348x = 11,233,032,196
  5. Step 5: Solve for x
    x = 11,233,032,196/74,348
  6. Step 6: Final answer
    x = 151,087.21

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.