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Finding the Third Proportional to 61,188 and 94,118

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Solution

The third proportional to 61,188 and 94,118 is: 144,770.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,188 : 94,118 = 94,118 : x
  2. Step 2: Convert to fraction form
    61,188/94,118 = 94,118/x
  3. Step 3: Cross multiply
    61,188x = 94,118 × 94,118
  4. Step 4: Simplify right side
    61,188x = 8,858,197,924
  5. Step 5: Solve for x
    x = 8,858,197,924/61,188
  6. Step 6: Final answer
    x = 144,770.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.