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Finding the Third Proportional to 94,246 and 138,541

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Solution

The third proportional to 94,246 and 138,541 is: 203,654.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,246 : 138,541 = 138,541 : x
  2. Step 2: Convert to fraction form
    94,246/138,541 = 138,541/x
  3. Step 3: Cross multiply
    94,246x = 138,541 × 138,541
  4. Step 4: Simplify right side
    94,246x = 19,193,608,681
  5. Step 5: Solve for x
    x = 19,193,608,681/94,246
  6. Step 6: Final answer
    x = 203,654.36

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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.