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Finding the Third Proportional to 61,384 and 94,790

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Solution

The third proportional to 61,384 and 94,790 is: 146,376.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,384 : 94,790 = 94,790 : x
  2. Step 2: Convert to fraction form
    61,384/94,790 = 94,790/x
  3. Step 3: Cross multiply
    61,384x = 94,790 × 94,790
  4. Step 4: Simplify right side
    61,384x = 8,985,144,100
  5. Step 5: Solve for x
    x = 8,985,144,100/61,384
  6. Step 6: Final answer
    x = 146,376.00

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