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Finding the Third Proportional to 60,930 and 94,160

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Solution

The third proportional to 60,930 and 94,160 is: 145,512.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,930 : 94,160 = 94,160 : x
  2. Step 2: Convert to fraction form
    60,930/94,160 = 94,160/x
  3. Step 3: Cross multiply
    60,930x = 94,160 × 94,160
  4. Step 4: Simplify right side
    60,930x = 8,866,105,600
  5. Step 5: Solve for x
    x = 8,866,105,600/60,930
  6. Step 6: Final answer
    x = 145,512.98

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.