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Finding the Third Proportional to 61,182 and 89,407

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Solution

The third proportional to 61,182 and 89,407 is: 130,653.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,182 : 89,407 = 89,407 : x
  2. Step 2: Convert to fraction form
    61,182/89,407 = 89,407/x
  3. Step 3: Cross multiply
    61,182x = 89,407 × 89,407
  4. Step 4: Simplify right side
    61,182x = 7,993,611,649
  5. Step 5: Solve for x
    x = 7,993,611,649/61,182
  6. Step 6: Final answer
    x = 130,653.00

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.