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Finding the Third Proportional to 64,851.50 and 141,061

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Solution

The third proportional to 64,851.50 and 141,061 is: 306,827.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,851.50 : 141,061 = 141,061 : x
  2. Step 2: Convert to fraction form
    64,851.50/141,061 = 141,061/x
  3. Step 3: Cross multiply
    64,851.50x = 141,061 × 141,061
  4. Step 4: Simplify right side
    64,851.50x = 19,898,205,721
  5. Step 5: Solve for x
    x = 19,898,205,721/64,851.50
  6. Step 6: Final answer
    x = 306,827.22

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