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Finding the Third Proportional to 61,685.72 and 92,984.63

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Solution

The third proportional to 61,685.72 and 92,984.63 is: 140,164.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,685.72 : 92,984.63 = 92,984.63 : x
  2. Step 2: Convert to fraction form
    61,685.72/92,984.63 = 92,984.63/x
  3. Step 3: Cross multiply
    61,685.72x = 92,984.63 × 92,984.63
  4. Step 4: Simplify right side
    61,685.72x = 8,646,140,486.39
  5. Step 5: Solve for x
    x = 8,646,140,486.39/61,685.72
  6. Step 6: Final answer
    x = 140,164.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.