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Finding the Third Proportional to 61,692 and 134,541

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Solution

The third proportional to 61,692 and 134,541 is: 293,413.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,692 : 134,541 = 134,541 : x
  2. Step 2: Convert to fraction form
    61,692/134,541 = 134,541/x
  3. Step 3: Cross multiply
    61,692x = 134,541 × 134,541
  4. Step 4: Simplify right side
    61,692x = 18,101,280,681
  5. Step 5: Solve for x
    x = 18,101,280,681/61,692
  6. Step 6: Final answer
    x = 293,413.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.