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Finding the Third Proportional to 94,160 and 138,098

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Solution

The third proportional to 94,160 and 138,098 is: 202,538.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,160 : 138,098 = 138,098 : x
  2. Step 2: Convert to fraction form
    94,160/138,098 = 138,098/x
  3. Step 3: Cross multiply
    94,160x = 138,098 × 138,098
  4. Step 4: Simplify right side
    94,160x = 19,071,057,604
  5. Step 5: Solve for x
    x = 19,071,057,604/94,160
  6. Step 6: Final answer
    x = 202,538.84

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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.