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Finding the Third Proportional to 61,218 and 89,731.13

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Solution

The third proportional to 61,218 and 89,731.13 is: 131,524.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,218 : 89,731.13 = 89,731.13 : x
  2. Step 2: Convert to fraction form
    61,218/89,731.13 = 89,731.13/x
  3. Step 3: Cross multiply
    61,218x = 89,731.13 × 89,731.13
  4. Step 4: Simplify right side
    61,218x = 8,051,674,793.77
  5. Step 5: Solve for x
    x = 8,051,674,793.77/61,218
  6. Step 6: Final answer
    x = 131,524.63

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.